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Dillen, Franki

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Author ID: dillen.franki Recent zbMATH articles by "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
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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

Publications by Year

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 1140.53006
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc
42
2007
Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012
Dillen, Franki; Munteanu, Marian Ioan
37
2009
A pointwise inequality in submanifold theory. Zbl 1054.53075
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
34
1999
Calabi-type composition of affine spheres. Zbl 0934.53006
Dillen, Franki; Vrancken, Luc
33
1994
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
31
1990
Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004
Dillen, Franki; Kühnel, Wolfgang
28
1999
An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
25
1996
Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
25
1994
Rectifying curves as centrodes and extremal curves. Zbl 1082.53012
Chen, Bang-Yen; Dillen, Franki
24
2005
Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017
Dillen, Franki; Vrancken, Luc
24
1996
On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
23
1990
Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039
Dillen, Franki; Nölker, Stefan
21
1993
Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047
Dillen, F.; Verstraelen, L.; Vrancken, L.
21
1990
Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067
Bolton, John; Dillen, Franki; Dioos, Bart; Vrancken, Luc
20
2015
Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014
Deszcz, 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 0929.53008
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
18
1998
Affine hypersurfaces with parallel cubic form. Zbl 0806.53008
Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur
18
1994
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, 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 1176.53031
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
17
2009
Ruled surface of finite type. Zbl 0704.53003
Chen, 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 1241.53010
Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan
14
2011
Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060
Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri
14
2007
Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012
Dillen, Franki
14
1991
Equivalence theorems in affine differential geometry. Zbl 0684.53012
Dillen, Franki
14
1989
Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040
Dillen, F.; Petrovic, M.; Verstraelen, L.
13
1997
3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006
Dillen, Franki; Vrancken, Luc
13
1991
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
12
2011
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047
Chen, Bang-Yen; Dillen, Franki
12
2007
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
12
2002
Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
12
1995
On totally real 3-dimensional submanifolds of the nearly Kaehler 6- sphere. Zbl 0618.53046
Dillen, F.; Opozda, B.; Verstraelen, L.; Vrancken, L.
12
1987
Classification of constant angle surfaces in a warped product. Zbl 1228.53021
Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc
11
2011
A generalization of the translation surfaces of Scherk. Zbl 0804.53007
Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges
11
1991
On the Gauss map of surfaces of revolution. Zbl 0727.53005
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
11
1990
A best possible inequality for curvature-like tensor fields. Zbl 1175.53023
Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc
10
2009
Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008
Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de
10
2008
\(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold
10
2005
Hypersurfaces with parallel difference tensor. Zbl 0907.53007
Dillen, Franki; Vrancken, Luc
10
1998
On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006
Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc
10
1991
Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005
Dillen, Franki; Sodsiri, Wijarn
9
2005
A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021
Abdalla, Bahaa E.; Dillen, Franki
9
2002
The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011
Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L.
9
1994
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008
Dillen, Franki; Vrancken, Luc
9
1993
Ruled submanifolds of finite type. Zbl 0747.53006
Dillen, Franki
9
1992
Complex affine differential geometry. Zbl 0723.53006
Dillen, F.; Vrancken, L.; Verstraelen, L.
9
1988
A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020
Dillen, 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 0940.53004
Dillen, 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 0831.53016
Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
8
1995
Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014
Dillen, Franki; Vrancken, Luc
8
1993
Quadrics of finite type. Zbl 0709.53036
Chen, Bang-Yen; Dillen, Franki
8
1990
The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form. Zbl 0671.53007
Dillen, F.
8
1990
On almost complex surfaces of the nearly Kaehler 6-sphere. II. Zbl 0677.53063
Dillen, F.; Verstraelen, L.; Vrancken, L.
8
1987
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
7
2000
Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003
Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan
7
1995
Constant angle surfaces in product spaces. Zbl 1252.53025
Dillen, Franki; Kowalczyk, Daniel
6
2012
Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058
Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng
6
2012
Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059
Chen, Bang-Yen; Dillen, Franki
6
2008
Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009
Dillen, Franki; Vrancken, Luc
6
1994
Polynomials with constant Hessian determinant. Zbl 0741.12001
Dillen, Franki
6
1991
Curves of finite type. Zbl 0747.53005
Chen, B. Y.; Deprez, J.; Dillen, F.; Verstraelen, L.
6
1990
Complex affine hypersurfaces of \({\mathbb{C}}^{n+1}\). I. Zbl 0676.53009
Dillen, Franki; Vrancken, Luc
6
1988
On problems of U. Simon concerning minimal submanifolds of the nearly Kähler 6-sphere. Zbl 0655.53052
Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
6
1988
Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011
Dillen, Franki; Vrancken, Luc
5
2005
Handbook of differential geometry. Vol. I. Zbl 1069.00010
Dillen, Franki J. E. (ed.); Verstraelen, Leopold C. A. (ed.)
5
2000
Parallel hypersurfaces of affine spaces. Zbl 0859.53004
Dillen, F.; Vrancken, L.
5
1993
A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
5
1993
Generalized Cayley surfaces. Zbl 0746.53008
Dillen, Franki; Vrancken, Luc
5
1991
C-totally real submanifolds of Sasakian space forms. Zbl 0654.53062
Dillen, Franki; Vrancken, Luc
5
1990
C-totally real submanifolds of \(S^ 7(1)\) with non-negative sectional curvature. Zbl 0699.53055
Dillen, Franki; Vrancken, Luc
5
1989
Locally symmetric complex affine hypersurfaces. Zbl 0656.53012
Dillen, Franki
5
1988
Special Lagrangian 4-folds with \(\mathrm{SO}(2)\rtimes S_3\)-symmetry in complex space forms. Zbl 1357.53092
Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc
4
2015
Decomposable affine hypersurfaces. Zbl 1305.53013
Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc
4
2014
\(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
4
2011
Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016
Chen, 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 1220.53023
Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri
4
2009
Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068
Dillen, Franki; Munteanu, Marian Ioan
4
2007
Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007
Dillen, Franki; Kühnel, Wolfgang
4
2005
Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1996
Deformations of Legendre curves. Zbl 0907.53037
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1995
Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1994
The semiring of immersions of manifolds. Zbl 0788.53047
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1993
Finite type space curves. Zbl 0627.53001
Chen, B. Y.; Dillen, F.; Verstraelen, L.
4
1986
Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
3
2018
Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017
Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki
3
2012
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108
Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc
3
2012
Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013
Dillen, Franki; Sodsiri, Wijarn
3
2005
An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062
Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold
3
2004
Affine hypersurfaces with symmetric shape operator. Zbl 1071.53005
Dillen, Franki; Lu, Ying
3
2004
Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007
Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc
3
2003
Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005
Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G.
3
1995
Quadric hypersurfaces of finite type. Zbl 0765.53043
Chen, Bang-Yen; Dillen, Franki; Song, Hongzao
3
1992
The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058
Dillen, Franki
3
1991
Sur les hypersurfaces parallèles d’ordre supérieur. (On higher order parallel hypersurfaces). Zbl 0702.53012
Dillen, Franki
3
1990
The conharmonic curvature tensor and 4-dimensional catenoids. Zbl 0659.53026
Dillen, F.; Petrović-Torgašev, M.; Verstraelen, L.
3
1988
On an inequality of Oprea for Lagrangian submanifolds. Zbl 1176.53030
Dillen, Franki; Fastenakels, Johan
2
2009
Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form”. Zbl 1152.81370
Chen, Bang-Yen; Dillen, Franki
2
2008
Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. Zbl 1155.53047
Chen, Bang-Yen; Dillen, Franki
2
2008
Higher order parallel surfaces in the Heisenberg group. Zbl 1142.53017
Dillen, Franki; van der Veken, Joeri
2
2008
Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). Zbl 1007.53047
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
2
2002
Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005
Dillen, Franki; Magid, Martin; Vrancken, Luc
2
2000
Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
3
2018
Lorentzian isotropic Lagrangian immersions. Zbl 06749930
Dillen, Franki; Vrancken, Luc
1
2016
Almost complex surfaces in the nearly Kähler \(S^3\times S^3\). Zbl 1327.53067
Bolton, 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 1357.53092
Dillen, Franki; Scharlach, Christine; Schoels, Kristof; Vrancken, Luc
4
2015
Decomposable affine hypersurfaces. Zbl 1305.53013
Antić, Miroslava; Dillen, Franki; Schoels, Kristof; Vrancken, Luc
4
2014
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
17
2013
Submanifold theory and parallel transport. Zbl 1299.53039
Dillen, Franki; Fastenakels, Johan; Haesen, Stefan; Van der Veken, Joeri; Verstraelen, Leopold
1
2013
Constant angle surfaces in product spaces. Zbl 1252.53025
Dillen, Franki; Kowalczyk, Daniel
6
2012
Lagrangian submanifolds in complex projective space with parallel second fundamental form. Zbl 1245.53058
Dillen, Franki; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng
6
2012
Constant angle surfaces in \(\mathbb{S}^3(1) \times \mathbb R\). Zbl 1242.53017
Chen, Daguang; Chen, Gangyi; Chen, Hang; Dillen, Franki
3
2012
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108
Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc
3
2012
Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\). Zbl 1241.53010
Dillen, Franki; Nistor, Ana-Irina; Munteanu, Marian Ioan
14
2011
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
12
2011
Classification of constant angle surfaces in a warped product. Zbl 1228.53021
Dillen, Franki; Munteanu, Marian Ioan; Van Der Veken, Joeri; Vrancken, Luc
11
2011
\(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
4
2011
Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri
4
2010
Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). Zbl 1173.53012
Dillen, Franki; Munteanu, Marian Ioan
37
2009
Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction. Zbl 1176.53031
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
17
2009
A best possible inequality for curvature-like tensor fields. Zbl 1175.53023
Bolton, 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 1220.53023
Dillen, Franki; Fastenakels, Johan; Van Der Veken, Joeri
4
2009
On an inequality of Oprea for Lagrangian submanifolds. Zbl 1176.53030
Dillen, Franki; Fastenakels, Johan
2
2009
Translation surfaces of Weingaryen type in 3-space. Zbl 1349.53008
Dillen, Franki; Goemans, Wendy; Woestyne, Ignace Van de
10
2008
Optimal inequalities for multiply warped product submanifolds. Zbl 1184.53059
Chen, Bang-Yen; Dillen, Franki
6
2008
Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form”. Zbl 1152.81370
Chen, Bang-Yen; Dillen, Franki
2
2008
Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. Zbl 1155.53047
Chen, Bang-Yen; Dillen, Franki
2
2008
Higher order parallel surfaces in the Heisenberg group. Zbl 1142.53017
Dillen, Franki; van der Veken, Joeri
2
2008
Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\). Zbl 1140.53006
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc
42
2007
Remarks on an inequality involving the normal scalar curvature. Zbl 1143.53060
Dillen, Franki; Fastenakels, Johan; van der Veken, Joeri
14
2007
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047
Chen, Bang-Yen; Dillen, Franki
12
2007
A pinching theorem for the normal scalar curvature of invariant submanifolds. Zbl 1108.53020
Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri
8
2007
Surfaces in \(\mathbb H^+\times \mathbb R\). Zbl 1144.53068
Dillen, Franki; Munteanu, Marian Ioan
4
2007
Rectifying curves as centrodes and extremal curves. Zbl 1082.53012
Chen, Bang-Yen; Dillen, Franki
24
2005
\(\delta\)-invariants and their applications to centroaffine geometry. Zbl 1075.53012
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold
10
2005
Ruled surfaces of Weingarten type in Minkowski 3-space. Zbl 1094.53005
Dillen, Franki; Sodsiri, Wijarn
9
2005
Improper affine spheres and \(\delta\)-invariants. Zbl 1089.53011
Dillen, Franki; Vrancken, Luc
5
2005
Total curvature of complete submanifolds of Euclidean space. Zbl 1087.53007
Dillen, Franki; Kühnel, Wolfgang
4
2005
Ruled surfaces of Weingarten type in Minkowski 3-space. II. Zbl 1110.53013
Dillen, Franki; Sodsiri, Wijarn
3
2005
An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings. Zbl 1083.53062
Dillen, Franki; Haesen, Stefan; Petrović-Torgašev, Miroslava; Verstraelen, Leopold
3
2004
Affine hypersurfaces with symmetric shape operator. Zbl 1071.53005
Dillen, Franki; Lu, Ying
3
2004
Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Zbl 1045.53007
Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc
3
2003
A characterization of quadrics by the principal curvature functions. Zbl 1048.53013
Dillen, F.; Lusala, T.; Scherfner, M.; Verbouwe, G.
1
2003
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces. Zbl 1029.53071
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
12
2002
A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Zbl 1008.53021
Abdalla, Bahaa E.; Dillen, Franki
9
2002
Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). Zbl 1007.53047
Belkhelfa, Mohamed; Dillen, Franki; Inoguchi, Jun-ichi
2
2002
Total curvature for open submanifolds of Euclidean spaces. Zbl 1163.53333
Dillen, Franki; Kühnel, Wolfgang
1
2001
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces. Zbl 1007.53019
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
7
2000
Handbook of differential geometry. Vol. I. Zbl 1069.00010
Dillen, Franki J. E. (ed.); Verstraelen, Leopold C. A. (ed.)
5
2000
Affine hyperspheres with constant affine sectional curvature. Zbl 0996.53005
Dillen, Franki; Magid, Martin; Vrancken, Luc
2
2000
Homogeneous surfaces in the three-dimensional projective geometry. Zbl 1028.53013
Dillen, Franki; Doubrov, Boris; Komrakov, Boris; Rabinovich, Maxim
2
2000
A pointwise inequality in submanifold theory. Zbl 1054.53075
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
34
1999
Ruled Weingarten surfaces in Minkowski 3-space. Zbl 0942.53004
Dillen, Franki; Kühnel, Wolfgang
28
1999
Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere. Zbl 0990.53014
Deszcz, Ryszard; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
18
1999
Totally real bisectional curvature, Bochner-Kähler and Einstein-Kähler manifolds. Zbl 0942.53031
Chen, 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 0929.53008
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
18
1998
Hypersurfaces with parallel difference tensor. Zbl 0907.53007
Dillen, 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 0940.53004
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
8
1998
The normal curvature of totally real submanifolds of \(S^6(1)\). Zbl 0906.53011
De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.
1
1998
Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen’s equality. Zbl 0896.53040
Dillen, F.; Petrovic, M.; Verstraelen, L.
13
1997
Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant. Zbl 0890.53008
Abdalla, 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 0855.53011
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
25
1996
Totally real submanifolds in \(S^ 6(1)\) satisfying Chen’s equality. Zbl 0882.53017
Dillen, Franki; Vrancken, Luc
24
1996
Calabi curves as holomorphic Legendre curves and Chen’s inequality. Zbl 0999.53039
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1996
Ruled surfaces of constant mean curvature in 3-dimensional Minkowski space. Zbl 0936.53015
Dillen, 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 0829.53049
Chen, 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 0831.53016
Chen, Bang-yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
8
1995
Ruled surfaces of finite type in 3-dimensional Minkowski space. Zbl 0839.53003
Dillen, Franki; Van de Woestyne, Ignace; Verstraelen, Leopold; Walrave, Johan
7
1995
Deformations of Legendre curves. Zbl 0907.53037
Blair, D. E.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1995
Classification of polynomial translation hypersurfaces of finite type. Zbl 0833.53005
Dillen, F.; Verstraelen, L.; Vrancken, L.; Zafindratafa, G.
3
1995
Compact hypersurfaces determined by a spectral variational principle. Zbl 0862.53043
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1
1995
Calabi-type composition of affine spheres. Zbl 0934.53006
Dillen, Franki; Vrancken, Luc
33
1994
Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
25
1994
Affine hypersurfaces with parallel cubic form. Zbl 0806.53008
Dillen, Franki; Vrancken, Luc; Yaprak, Sahnur
18
1994
The affine mean curvature vector for surfaces in \(\mathbb{R}^ 4\). Zbl 0833.53011
Dillen, F.; Mys, G.; Verstraelen, L.; Vrancken, L.
9
1994
Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Zbl 0820.53009
Dillen, Franki; Vrancken, Luc
6
1994
Affine differential geometry for surfaces in codimension one, two and three. Zbl 0837.53008
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1994
Tensor products of spherical and equivariant immersions. Zbl 0815.53063
Decruyenaere, F.; Dillen, F.; Mihai, I.; Verstraelen, L.
2
1994
Affine surfaces in \(\mathbb{R}^ 5\). Zbl 0815.53011
Decruyenaere, Fabien; Dillen, Franki; Vrancken, Luc; Vestraelen, Leopold
2
1994
Semi-parallelity, multi-rotation surfaces and the helix-property. Zbl 0770.53039
Dillen, Franki; Nölker, Stefan
21
1993
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces. Zbl 0795.53008
Dillen, Franki; Vrancken, Luc
9
1993
Homogeneous affine hypersurfaces with rank one shape operators. Zbl 0804.53014
Dillen, Franki; Vrancken, Luc
8
1993
Parallel hypersurfaces of affine spaces. Zbl 0859.53004
Dillen, F.; Vrancken, L.
5
1993
A variational minimal principle characterizes submanifolds of finite type. Zbl 0811.53054
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
5
1993
The semiring of immersions of manifolds. Zbl 0788.53047
Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L.
4
1993
Curves of restricted type in Minkowski space. Zbl 0845.53004
Dillen, F.; Van de Woestyne, I.; Verstraelen, L.; Walrave, J.
1
1993
Submanifolds of restricted type. Zbl 0778.53002
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1
1993
Ruled submanifolds of finite type. Zbl 0747.53006
Dillen, Franki
9
1992
Quadric hypersurfaces of finite type. Zbl 0765.53043
Chen, Bang-Yen; Dillen, Franki; Song, Hongzao
3
1992
Hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0765.53013
Dillen, Franki
2
1992
Semi-parallel hypersurfaces of a real space form. Zbl 0765.53012
Dillen, Franki
14
1991
3-dimensional affine hypersurfaces in \(\mathbb{R}{}^ 4\) with parallel cubic form. Zbl 0770.53006
Dillen, Franki; Vrancken, Luc
13
1991
A generalization of the translation surfaces of Scherk. Zbl 0804.53007
Dillen, Franki; Verstraelen, Leopold; Zafindratafa, Georges
11
1991
On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Zbl 0765.53006
Dillen, Franki; Martinez, Antonio; Milan, Francisco; Garcia Santos, Florentino; Vrancken, Luc
10
1991
Polynomials with constant Hessian determinant. Zbl 0741.12001
Dillen, Franki
6
1991
Generalized Cayley surfaces. Zbl 0746.53008
Dillen, Franki; Vrancken, Luc
5
1991
The classification of hypersurfaces of a real space form with parallel higher order fundamental form. Zbl 0793.53058
Dillen, Franki
3
1991
Classification of curves of Chen type 2. Zbl 0794.53002
Dillen, Franki; Petrovic, Miroslava; Verstraelen, Leopold; Vrancken, Luc
1
1991
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
31
1990
On surfaces of finite type in Euclidean 3-space. Zbl 0705.53027
Dillen, Franki; Pas, Johan; Verstraelen, Leopold
23
1990
Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\). Zbl 0721.53047
Dillen, F.; Verstraelen, L.; Vrancken, L.
21
1990
Ruled surface of finite type. Zbl 0704.53003
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
17
1990
...and 25 more Documents
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. Series A: Theory and Methods
6 International Journal of Mathematics
6 Journal of Mathematical Sciences (New York)
6 Turkish Journal of Mathematics
6 Taiwanese Journal of Mathematics
5 Beiträge zur Algebra und Geometrie
5 Mathematische Nachrichten
5 Acta Mathematica Hungarica
5 Russian Mathematics
5 Journal of the Egyptian Mathematical Society
5 Journal of Inequalities and Applications
5 Bulletin of the Brazilian Mathematical Society. New Series
4 Periodica Mathematica Hungarica
4 Ukrainian Mathematical Journal
4 Glasgow Mathematical Journal
4 Transactions of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Advances in Applied Clifford Algebras
4 Science China. Mathematics
4 Mathematics
3 Rocky Mountain Journal of Mathematics
3 Kodai Mathematical Journal
3 Manuscripta Mathematica
3 Mathematische Zeitschrift
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Advances in Geometry
3 Bulletin of the Malaysian Mathematical Sciences Society. 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

Citations by Year

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