Edit Profile Dillen, Franki Compute Distance To: Compute Author ID: dillen.franki Published as: Dillen, F.; Dillen, Franki; Dillen, Franki J. E.; Dillen, Frankie External Links: MGP · Wikidata · GND Documents Indexed: 155 Publications since 1985, including 9 Books Reviewing Activity: 37 Reviews Biographic References: 5 Publications all top 5 Co-Authors 15 single-authored 73 Vrancken, Luc 58 Verstraelen, Leopold C. A. 31 Chen, Bang-Yen 12 Van der Veken, Joeri 9 Fastenakels, Johan 6 van de Woestyne, Ignace 5 Decruyenaere, Fabien 4 Deprez, Johan 4 Munteanu, Marian-Ioan 4 van de Woestijne, Ignace 4 Walrave, Johan 3 Bolton, John 3 Kühnel, Wolfgang 3 Opozda, Barbara 3 Petrović-Torgašev, Miroslava 3 Verbouwe, Gerd 2 Abdalla, Bahaa E. 2 Belkhelfa, Mohamed 2 Blair, David E. 2 De Smet, Pieter-Jan 2 Haesen, Stefan 2 Inoguchi, Jun-ichi 2 Komrakov, Boris P. 2 Magid, Martin A. 2 Nölker, Stefan 2 Pas, Johan 2 Petrović, Miroslava 2 Schoels, Kristof 2 Simon, Udo 2 Sodsiri, Wijarn 2 Zafindratafa, Georges 1 Antic, Miroslava 1 Chen, Daguang 1 Chen, Gangyi 1 Chen, Hang 1 Deszcz, Ryszard 1 Dioos, Bart 1 Doubrov, Boris M. 1 Garcia Santos, Florentino 1 Goemans, Wendy 1 Kowalczyk, Daniel 1 Li, Haizhong 1 Lu, Ying 1 Lusala, Tsasa 1 Martinez, Antonio Olivas 1 Mihai, Ion 1 Milán, Francisco 1 Mys, G. 1 Nistor, Ana Irina 1 Nomizu, Katsumi 1 Rabinovich, Maxim 1 Rosca, Radu M. 1 Sasaki, Takeshi 1 Scharlach, Christine 1 Scherfner, Mike 1 Song, Hongzao 1 Verheyen, Paul 1 Wang, Xianfeng 1 Yaprak, Sahnur all top 5 Serials 7 Results in Mathematics 6 Differential Geometry and its Applications 5 Journal of Geometry 4 Journal of Geometry and Physics 4 Proceedings of the American Mathematical Society 4 Tohoku Mathematical Journal. Second Series 4 Soochow Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Archiv der Mathematik 3 Journal of the Mathematical Society of Japan 3 Bulletin de la Société Matheḿatique de Belgique. Série B 3 Bulletin of the Institute of Mathematics. Academia Sinica 3 Taiwanese Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Geometriae Dedicata 2 Japanese Journal of Mathematics. New Series 2 Kodai Mathematical Journal 2 Kyungpook Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Note di Matematica 2 International Journal of Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Kyushu Journal of Mathematics 2 International Electronic Journal of Geometry 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică 1 Archivum Mathematicum 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Chinese Journal of Mathematics 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematical Journal of Okayama University 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annals of Global Analysis and Geometry 1 Zbornik Radova, Prirodno-Matematickog Fakulteta, Univerzitet u Kragujevcu 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Rendiconti del Seminario Matematico di Messina. Serie II 1 Filomat 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Mathematical Inequalities & Applications 1 Kragujevac Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 Berichte aus der Mathematik all top 5 Fields 155 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 9 Global analysis, analysis on manifolds (58-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 125 Publications have been cited 1,060 times in 602 Documents Cited by ▼ Year ▼ Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\). Zbl 1140.53006Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc 42 2007 Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012Dillen, Franki; Munteanu, Marian Ioan 37 2009 A pointwise inequality in submanifold theory. Zbl 1054.53075De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L. 34 1999 Calabi-type composition of affine spheres. Zbl 0934.53006Dillen, Franki; Vrancken, Luc 33 1994 Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc 31 1990 Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004Dillen, Franki; Kühnel, Wolfgang 28 1999 An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 25 1996 Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 25 1994 Rectifying curves as centrodes and extremal curves. Zbl 1082.53012Chen, Bang-Yen; Dillen, Franki 24 2005 Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017Dillen, Franki; Vrancken, Luc 24 1996 On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027Dillen, Franki; Pas, Johan; Verstraelen, Leopold 23 1990 Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039Dillen, Franki; Nölker, Stefan 21 1993 Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047Dillen, F.; Verstraelen, L.; Vrancken, L. 21 1990 Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067Bolton, John; Dillen, Franki; Dioos, Bart; Vrancken, Luc 20 2015 Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014Deszcz, Ryszard; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 18 1999 Lagrangian isometric immersions of a real-space-form \(M^n(c)\) into a complex-space-form \(\widetilde M^n(4c)\). Zbl 0929.53008Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 18 1998 Affine hypersurfaces with parallel cubic form. Zbl 0806.53008Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur 18 1994 Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 17 2013 Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction. Zbl 1176.53031Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri 17 2009 Ruled surface of finite type. Zbl 0704.53003Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 17 1990 Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\). Zbl 1241.53010Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan 14 2011 Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri 14 2007 Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012Dillen, Franki 14 1991 Equivalence theorems in affine differential geometry. Zbl 0684.53012Dillen, Franki 14 1989 Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040Dillen, F.; Petrovic, M.; Verstraelen, L. 13 1997 3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006Dillen, Franki; Vrancken, Luc 13 1991 Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082Chen, Bang-Yen; Dillen, Franki 12 2011 Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047Chen, Bang-Yen; Dillen, Franki 12 2007 Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi 12 2002 Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 12 1995 On totally real 3-dimensional submanifolds of the nearly Kaehler 6- sphere. Zbl 0618.53046Dillen, F.; Opozda, B.; Verstraelen, L.; Vrancken, L. 12 1987 Classification of constant angle surfaces in a warped product. Zbl 1228.53021Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc 11 2011 A generalization of the translation surfaces of Scherk. Zbl 0804.53007Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges 11 1991 On the Gauss map of surfaces of revolution. Zbl 0727.53005Dillen, Franki; Pas, Johan; Verstraelen, Leopold 11 1990 A best possible inequality for curvature-like tensor fields. Zbl 1175.53023Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc 10 2009 Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de 10 2008 \(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold 10 2005 Hypersurfaces with parallel difference tensor. Zbl 0907.53007Dillen, Franki; Vrancken, Luc 10 1998 On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc 10 1991 Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005Dillen, Franki; Sodsiri, Wijarn 9 2005 A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021Abdalla, Bahaa E.; Dillen, Franki 9 2002 The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L. 9 1994 The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008Dillen, Franki; Vrancken, Luc 9 1993 Ruled submanifolds of finite type. Zbl 0747.53006Dillen, Franki 9 1992 Complex affine differential geometry. Zbl 0723.53006Dillen, F.; Vrancken, L.; Verstraelen, L. 9 1988 A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri 8 2007 The surface of Scherk in \(\mathbb{E}^3\). A special case in the class of minimal surfaces defined as the sum of two curves. Zbl 0940.53004Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J. 8 1998 Two equivariant totally real immersions into the nearly Kähler 6-sphere and their characterization. Zbl 0831.53016Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 8 1995 Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014Dillen, Franki; Vrancken, Luc 8 1993 Quadrics of finite type. Zbl 0709.53036Chen, Bang-Yen; Dillen, Franki 8 1990 The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form. Zbl 0671.53007Dillen, F. 8 1990 On almost complex surfaces of the nearly Kaehler 6-sphere. II. Zbl 0677.53063Dillen, F.; Verstraelen, L.; Vrancken, L. 8 1987 Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 7 2000 Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan 7 1995 Constant angle surfaces in product spaces. Zbl 1252.53025Dillen, Franki; Kowalczyk, Daniel 6 2012 Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng 6 2012 Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059Chen, Bang-Yen; Dillen, Franki 6 2008 Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009Dillen, Franki; Vrancken, Luc 6 1994 Polynomials with constant Hessian determinant. Zbl 0741.12001Dillen, Franki 6 1991 Curves of finite type. Zbl 0747.53005Chen, B. Y.; Deprez, J.; Dillen, F.; Verstraelen, L. 6 1990 Complex affine hypersurfaces of \({\mathbb{C}}^{n+1}\). I. Zbl 0676.53009Dillen, Franki; Vrancken, Luc 6 1988 On problems of U. Simon concerning minimal submanifolds of the nearly Kähler 6-sphere. Zbl 0655.53052Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 6 1988 Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011Dillen, Franki; Vrancken, Luc 5 2005 Handbook of differential geometry. Vol. I. Zbl 1069.00010Dillen, Franki J. E. (ed.); Verstraelen, Leopold C. A. (ed.) 5 2000 Parallel hypersurfaces of affine spaces. Zbl 0859.53004Dillen, F.; Vrancken, L. 5 1993 A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 5 1993 Generalized Cayley surfaces. Zbl 0746.53008Dillen, Franki; Vrancken, Luc 5 1991 C-totally real submanifolds of Sasakian space forms. Zbl 0654.53062Dillen, Franki; Vrancken, Luc 5 1990 C-totally real submanifolds of \(S^ 7(1)\) with non-negative sectional curvature. Zbl 0699.53055Dillen, Franki; Vrancken, Luc 5 1989 Locally symmetric complex affine hypersurfaces. Zbl 0656.53012Dillen, Franki 5 1988 Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms. Zbl 1357.53092Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc 4 2015 Decomposable affine hypersurfaces. Zbl 1305.53013Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc 4 2014 \(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057Chen, Bang-Yen; Dillen, Franki 4 2011 Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri 4 2010 Rotation hypersurfacas in \(\mathbb S^{n} \times \mathbb R\) and \(\mathbb H^{n} \times \mathbb R\). Zbl 1220.53023Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri 4 2009 Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068Dillen, Franki; Munteanu, Marian Ioan 4 2007 Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007Dillen, Franki; Kühnel, Wolfgang 4 2005 Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1996 Deformations of Legendre curves. Zbl 0907.53037Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1995 Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1994 The semiring of immersions of manifolds. Zbl 0788.53047Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1993 Finite type space curves. Zbl 0627.53001Chen, B. Y.; Dillen, F.; Verstraelen, L. 4 1986 Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 3 2018 Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki 3 2012 Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc 3 2012 Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013Dillen, Franki; Sodsiri, Wijarn 3 2005 An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold 3 2004 Affine hypersurfaces with symmetric shape operator. Zbl 1071.53005Dillen, Franki; Lu, Ying 3 2004 Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc 3 2003 Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G. 3 1995 Quadric hypersurfaces of finite type. Zbl 0765.53043Chen, Bang-Yen; Dillen, Franki; Song, Hongzao 3 1992 The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058Dillen, Franki 3 1991 Sur les hypersurfaces parallèles d’ordre supérieur. (On higher order parallel hypersurfaces). Zbl 0702.53012Dillen, Franki 3 1990 The conharmonic curvature tensor and 4-dimensional catenoids. Zbl 0659.53026Dillen, F.; Petrović-Torgašev, M.; Verstraelen, L. 3 1988 On an inequality of Oprea for Lagrangian submanifolds. Zbl 1176.53030Dillen, Franki; Fastenakels, Johan 2 2009 Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form”. Zbl 1152.81370Chen, Bang-Yen; Dillen, Franki 2 2008 Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. Zbl 1155.53047Chen, Bang-Yen; Dillen, Franki 2 2008 Higher order parallel surfaces in the Heisenberg group. Zbl 1142.53017Dillen, Franki; van der Veken, Joeri 2 2008 Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). Zbl 1007.53047Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi 2 2002 Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005Dillen, Franki; Magid, Martin; Vrancken, Luc 2 2000 Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 3 2018 Lorentzian isotropic Lagrangian immersions. Zbl 06749930Dillen, Franki; Vrancken, Luc 1 2016 Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067Bolton, John; Dillen, Franki; Dioos, Bart; Vrancken, Luc 20 2015 Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms. Zbl 1357.53092Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc 4 2015 Decomposable affine hypersurfaces. Zbl 1305.53013Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc 4 2014 Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 17 2013 Submanifold theory and parallel transport. Zbl 1299.53039Dillen, Franki; Fastenakels, Johan; Haesen, Stefan; Van der Veken, Joeri; Verstraelen, Leopold 1 2013 Constant angle surfaces in product spaces. Zbl 1252.53025Dillen, Franki; Kowalczyk, Daniel 6 2012 Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng 6 2012 Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki 3 2012 Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc 3 2012 Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\). Zbl 1241.53010Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan 14 2011 Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082Chen, Bang-Yen; Dillen, Franki 12 2011 Classification of constant angle surfaces in a warped product. Zbl 1228.53021Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc 11 2011 \(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057Chen, Bang-Yen; Dillen, Franki 4 2011 Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri 4 2010 Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012Dillen, Franki; Munteanu, Marian Ioan 37 2009 Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction. Zbl 1176.53031Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri 17 2009 A best possible inequality for curvature-like tensor fields. Zbl 1175.53023Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc 10 2009 Rotation hypersurfacas in \(\mathbb S^{n} \times \mathbb R\) and \(\mathbb H^{n} \times \mathbb R\). Zbl 1220.53023Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri 4 2009 On an inequality of Oprea for Lagrangian submanifolds. Zbl 1176.53030Dillen, Franki; Fastenakels, Johan 2 2009 Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de 10 2008 Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059Chen, Bang-Yen; Dillen, Franki 6 2008 Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form”. Zbl 1152.81370Chen, Bang-Yen; Dillen, Franki 2 2008 Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. Zbl 1155.53047Chen, Bang-Yen; Dillen, Franki 2 2008 Higher order parallel surfaces in the Heisenberg group. Zbl 1142.53017Dillen, Franki; van der Veken, Joeri 2 2008 Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\). Zbl 1140.53006Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc 42 2007 Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri 14 2007 Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047Chen, Bang-Yen; Dillen, Franki 12 2007 A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri 8 2007 Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068Dillen, Franki; Munteanu, Marian Ioan 4 2007 Rectifying curves as centrodes and extremal curves. Zbl 1082.53012Chen, Bang-Yen; Dillen, Franki 24 2005 \(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold 10 2005 Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005Dillen, Franki; Sodsiri, Wijarn 9 2005 Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011Dillen, Franki; Vrancken, Luc 5 2005 Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007Dillen, Franki; Kühnel, Wolfgang 4 2005 Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013Dillen, Franki; Sodsiri, Wijarn 3 2005 An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold 3 2004 Affine hypersurfaces with symmetric shape operator. Zbl 1071.53005Dillen, Franki; Lu, Ying 3 2004 Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc 3 2003 A characterization of quadrics by the principal curvature functions. Zbl 1048.53013Dillen, F.; Lusala, T.; Scherfner, M.; Verbouwe, G. 1 2003 Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi 12 2002 A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021Abdalla, Bahaa E.; Dillen, Franki 9 2002 Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). Zbl 1007.53047Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi 2 2002 Total curvature for open submanifolds of Euclidean spaces. Zbl 1163.53333Dillen, Franki; Kühnel, Wolfgang 1 2001 Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 7 2000 Handbook of differential geometry. Vol. I. Zbl 1069.00010Dillen, Franki J. E. (ed.); Verstraelen, Leopold C. A. (ed.) 5 2000 Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005Dillen, Franki; Magid, Martin; Vrancken, Luc 2 2000 Homogeneous surfaces in the three-dimensional projective geometry. Zbl 1028.53013Dillen, Franki; Doubrov, Boris; Komrakov, Boris; Rabinovich, Maxim 2 2000 A pointwise inequality in submanifold theory. Zbl 1054.53075De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L. 34 1999 Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004Dillen, Franki; Kühnel, Wolfgang 28 1999 Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014Deszcz, Ryszard; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 18 1999 Totally real bisectional curvature, Bochner-Kähler and Einstein-Kähler manifolds. Zbl 0942.53031Chen, Bang-Yen; Dillen, Franki 1 1999 Lagrangian isometric immersions of a real-space-form \(M^n(c)\) into a complex-space-form \(\widetilde M^n(4c)\). Zbl 0929.53008Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 18 1998 Hypersurfaces with parallel difference tensor. Zbl 0907.53007Dillen, Franki; Vrancken, Luc 10 1998 The surface of Scherk in \(\mathbb{E}^3\). A special case in the class of minimal surfaces defined as the sum of two curves. Zbl 0940.53004Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J. 8 1998 The normal curvature of totally real submanifolds of \(S^6(1)\). Zbl 0906.53011De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L. 1 1998 Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040Dillen, F.; Petrovic, M.; Verstraelen, L. 13 1997 Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant. Zbl 0890.53008Abdalla, B. E.; Dillen, F.; Vrancken, L. 1 1997 An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 25 1996 Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017Dillen, Franki; Vrancken, Luc 24 1996 Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1996 Ruled surfaces of constant mean curvature in 3-dimensional Minkowski space. Zbl 0936.53015Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J. 1 1996 Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 12 1995 Two equivariant totally real immersions into the nearly Kähler 6-sphere and their characterization. Zbl 0831.53016Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 8 1995 Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan 7 1995 Deformations of Legendre curves. Zbl 0907.53037Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1995 Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G. 3 1995 Compact hypersurfaces determined by a spectral variational principle. Zbl 0862.53043Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 1 1995 Calabi-type composition of affine spheres. Zbl 0934.53006Dillen, Franki; Vrancken, Luc 33 1994 Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 25 1994 Affine hypersurfaces with parallel cubic form. Zbl 0806.53008Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur 18 1994 The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L. 9 1994 Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009Dillen, Franki; Vrancken, Luc 6 1994 Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1994 Tensor products of spherical and equivariant immersions. Zbl 0815.53063Decruyenaere, F.; Dillen, F.; Mihai, I.; Verstraelen, L. 2 1994 Affine surfaces in \(\mathbb{R}^ 5\). Zbl 0815.53011Decruyenaere, Fabien; Dillen, Franki; Vrancken, Luc; Vestraelen, Leopold 2 1994 Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039Dillen, Franki; Nölker, Stefan 21 1993 The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008Dillen, Franki; Vrancken, Luc 9 1993 Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014Dillen, Franki; Vrancken, Luc 8 1993 Parallel hypersurfaces of affine spaces. Zbl 0859.53004Dillen, F.; Vrancken, L. 5 1993 A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 5 1993 The semiring of immersions of manifolds. Zbl 0788.53047Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L. 4 1993 Curves of restricted type in Minkowski space. Zbl 0845.53004Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J. 1 1993 Submanifolds of restricted type. Zbl 0778.53002Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 1 1993 Ruled submanifolds of finite type. Zbl 0747.53006Dillen, Franki 9 1992 Quadric hypersurfaces of finite type. Zbl 0765.53043Chen, Bang-Yen; Dillen, Franki; Song, Hongzao 3 1992 Hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0765.53013Dillen, Franki 2 1992 Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012Dillen, Franki 14 1991 3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006Dillen, Franki; Vrancken, Luc 13 1991 A generalization of the translation surfaces of Scherk. Zbl 0804.53007Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges 11 1991 On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc 10 1991 Polynomials with constant Hessian determinant. Zbl 0741.12001Dillen, Franki 6 1991 Generalized Cayley surfaces. Zbl 0746.53008Dillen, Franki; Vrancken, Luc 5 1991 The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058Dillen, Franki 3 1991 Classification of curves of Chen type 2. Zbl 0794.53002Dillen, Franki; Petrovic, Miroslava; Verstraelen, Leopold; Vrancken, Luc 1 1991 Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc 31 1990 On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027Dillen, Franki; Pas, Johan; Verstraelen, Leopold 23 1990 Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047Dillen, F.; Verstraelen, L.; Vrancken, L. 21 1990 Ruled surface of finite type. Zbl 0704.53003Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 17 1990 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 539 Authors 74 Vrancken, Luc 56 Chen, Bang-Yen 44 Dillen, Franki 27 Verstraelen, Leopold C. A. 21 Hu, Zejun 17 Van der Veken, Joeri 15 Kim, Youngho 12 Ruiz-Hernández, Gabriel 11 Li, Cece 11 Munteanu, Marian-Ioan 9 Deszcz, Ryszard 9 Li, Haizhong 9 Mihai, Ion 9 Opozda, Barbara 8 Moruz, Marilena 8 Vîlcu, Gabriel Eduard 8 Wang, Changping 8 Yoon, Dae Won 7 Djorić, Mirjana 7 Fu, Yu 7 Ji, Fenghui 7 Liu, Huili 6 Ali, Ahmad Tawfik 6 Antic, Miroslava 6 Arslan, Kadri 6 Aydin, Muhittin Evren 6 Baikoussis, Christos 6 Deshmukh, Sharief 6 Dioos, Bart 6 Inoguchi, Jun-ichi 6 Simon, Udo 6 Siraj-Uddin 5 Blair, David E. 5 Bulca, Betül 5 Di Scala, Antonio Jose 5 Fastenakels, Johan 5 Hou, Zhonghua 5 Jung, Seoung Dal 5 Kim, Dongsoo S. 5 Lee, Jaewon 5 Lopez Camino, Rafael 5 Lucas, Pascual 5 Mihai, Adela 5 Öztürk, Günay 5 Scharlach, Christine 5 Shaikh, Absos Ali 5 Turgay, Nurettin Cenk 5 Yayli, Yusuf 5 Zafindratafa, Georges 4 Ali, Akram 4 Alkhaldi, Ali H. 4 Crâşmăreanu, Mircea 4 De, Uday Chand 4 Ergut, Mahmut 4 Garay, Oscar Jesus 4 Haesen, Stefan 4 İlarslan, Kazim 4 Karacan, Murat Kemal 4 Li, Xingxiao 4 Lu, Zhiqin 4 Milán, Francisco 4 Milin-Šipuš, Željka 4 Murathan, Cengizhan 4 Nistor, Ana Irina 4 Onnis, Irene Ignazia 4 Shahid, Mohammed Hasan 4 Suceavă, Bogdan Dragos 4 Suh, Young Jin 4 Tripathi, Mukut Mani 4 van de Woestyne, Ignace 4 Wang, Xianfeng 4 Xie, Zhenxiao 4 Yang, Dan 4 Zhang, Pan 3 Abdel Aziz, Hossam S. 3 Al-Jedani, Awatif 3 Al-Solamy, Falleh Rijaullah 3 Alghanemi, Azeb 3 Alías, Luis J. 3 Bayram, Bengu Kilic 3 Bekkar, Mohammed 3 Binder, Thomas 3 Bolton, John 3 Călin, Constantin 3 Cheng, Xiuxiu 3 Derdzinski, Andrzej 3 Ge, Jianquan 3 Głogowska, Małgorzata 3 Goemans, Wendy 3 Gülbahar, Mehmet 3 Güler, Erhan 3 Hui, Shyamal Kumar 3 Ivanov, Stefan P. 3 Jung, Sunmi 3 Karakuş, Siddika Özkaldi 3 Kelleci, Alev 3 Kılıç, Erol 3 Kowalczyk, Daniel 3 Lawn, Marie-Amélie 3 Lee, Jieun ...and 439 more Authors all top 5 Cited in 147 Serials 57 Results in Mathematics 38 Journal of Geometry and Physics 31 Differential Geometry and its Applications 27 Journal of Mathematical Analysis and Applications 26 Journal of Geometry 17 Geometriae Dedicata 16 Annals of Global Analysis and Geometry 15 Tohoku Mathematical Journal. Second Series 13 International Journal of Geometric Methods in Modern Physics 12 Mediterranean Journal of Mathematics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Israel Journal of Mathematics 9 Proceedings of the American Mathematical Society 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 Archiv der Mathematik 8 Monatshefte für Mathematik 8 Acta Mathematica Sinica. English Series 8 International Electronic Journal of Geometry 7 Central European Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Journal of Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications. 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Second Series 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Frontiers of Mathematics in China 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Symmetry 3 ISRN Geometry 2 Communications in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Illinois Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Tokyo Journal of Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Arab Journal of Mathematical Sciences 2 Honam Mathematical Journal 2 Mathematical Inequalities & Applications 2 Communications of the Korean Mathematical Society 2 DGDS. Differential Geometry – Dynamical Systems 2 International Journal of Analysis and Applications 2 Open Mathematics 2 Complex Manifolds 1 Communications in Algebra 1 Indian Journal of Pure & Applied Mathematics 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Historia Mathematica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 47 more Serials all top 5 Cited in 31 Fields 578 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 13 Relativity and gravitational theory (83-XX) 11 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Geometry (51-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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