Lytchak, Alexander A note on subsets of positive reach. (English) Zbl 07820027 Math. Nachr. 297, No. 3, 932-942 (2024). MSC: 53C20 53C45 52A30 PDFBibTeX XMLCite \textit{A. Lytchak}, Math. Nachr. 297, No. 3, 932--942 (2024; Zbl 07820027) Full Text: DOI arXiv OA License
Basso, Giuliano; Creutz, Paul; Soultanis, Elefterios Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces. (English) Zbl 07771196 J. Reine Angew. Math. 805, 213-239 (2023). Reviewer: Gabriela Cristescu (Arad) MSC: 52A39 52C25 53C65 PDFBibTeX XMLCite \textit{G. Basso} et al., J. Reine Angew. Math. 805, 213--239 (2023; Zbl 07771196) Full Text: DOI arXiv
Kolasiński, Sławomir; Santilli, Mario Regularity of the distance function from arbitrary closed sets. (English) Zbl 1523.46007 Math. Ann. 386, No. 1-2, 735-777 (2023). MSC: 46B20 46G05 52A21 PDFBibTeX XMLCite \textit{S. Kolasiński} and \textit{M. Santilli}, Math. Ann. 386, No. 1--2, 735--777 (2023; Zbl 1523.46007) Full Text: DOI arXiv
Sukhorebska, Darya Simple closed geodesics on regular tetrahedra in spaces of constant curvature. (English) Zbl 07793323 J. Math. Phys. Anal. Geom. 18, No. 4, 562-610 (2022). MSC: 53C22 52B10 PDFBibTeX XMLCite \textit{D. Sukhorebska}, J. Math. Phys. Anal. Geom. 18, No. 4, 562--610 (2022; Zbl 07793323) Full Text: DOI arXiv
Creutz, Paul; Romney, Matthew Triangulating metric surfaces. (English) Zbl 07740422 Proc. Lond. Math. Soc. (3) 125, No. 6, 1426-1451 (2022). MSC: 53C45 52B70 PDFBibTeX XMLCite \textit{P. Creutz} and \textit{M. Romney}, Proc. Lond. Math. Soc. (3) 125, No. 6, 1426--1451 (2022; Zbl 07740422) Full Text: DOI arXiv OA License
Hug, Daniel; Santilli, Mario Curvature measures and soap bubbles beyond convexity. (English) Zbl 1503.49034 Adv. Math. 411, Part A, Article ID 108802, 89 p. (2022). MSC: 49Q10 52A30 52A21 53C45 53C60 53C65 28A75 26B25 PDFBibTeX XMLCite \textit{D. Hug} and \textit{M. Santilli}, Adv. Math. 411, Part A, Article ID 108802, 89 p. (2022; Zbl 1503.49034) Full Text: DOI arXiv
Mirzaie, Reza; Rezaie, Omid Convex hull of extreme points in flat Riemannian manifolds. (English) Zbl 1508.53044 Int. Electron. J. Geom. 15, No. 2, 178-182 (2022). MSC: 53C20 52C35 PDFBibTeX XMLCite \textit{R. Mirzaie} and \textit{O. Rezaie}, Int. Electron. J. Geom. 15, No. 2, 178--182 (2022; Zbl 1508.53044) Full Text: DOI
Ghomi, Mohammad; Spruck, Joel Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds. (English) Zbl 1497.53076 J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022). Reviewer: Charalampos Charitos (Athína) MSC: 53C20 58J05 52A38 49Q15 PDFBibTeX XMLCite \textit{M. Ghomi} and \textit{J. Spruck}, J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022; Zbl 1497.53076) Full Text: DOI arXiv
Fu, Joseph H. G.; Pokorný, Dušan; Rataj, Jan Kinematic formulas for sets defined by differences of convex functions. (English) Zbl 1403.53062 Adv. Math. 311, 796-832 (2017). Reviewer: Celso M. Doria (Florianapolis) MSC: 53C65 52A20 53C20 PDFBibTeX XMLCite \textit{J. H. G. Fu} et al., Adv. Math. 311, 796--832 (2017; Zbl 1403.53062) Full Text: DOI arXiv
Liu, Hui; Long, Yiming Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. (English) Zbl 1357.37083 Calc. Var. Partial Differ. Equ. 54, No. 4, 3753-3787 (2015). MSC: 37J45 34C25 52A20 PDFBibTeX XMLCite \textit{H. Liu} and \textit{Y. Long}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3753--3787 (2015; Zbl 1357.37083) Full Text: DOI arXiv
Wang, Wei Irrationally elliptic closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^6\). (English) Zbl 1300.37041 J. Funct. Anal. 267, No. 3, 799-841 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 37J45 37C27 37C75 52A20 PDFBibTeX XMLCite \textit{W. Wang}, J. Funct. Anal. 267, No. 3, 799--841 (2014; Zbl 1300.37041) Full Text: DOI
Rump, Wolfgang; Santoso, Jenny Convexity of momentum maps: a topological analysis. (English) Zbl 1279.52003 Topology Appl. 159, No. 5, 1288-1299 (2012). MSC: 52A01 54C10 53D20 54E18 53C23 PDFBibTeX XMLCite \textit{W. Rump} and \textit{J. Santoso}, Topology Appl. 159, No. 5, 1288--1299 (2012; Zbl 1279.52003) Full Text: DOI arXiv
Wang, Wei Stability of closed characteristics on compact convex hypersurfaces in \(\mathbb R^{6}\). (English) Zbl 1167.52009 J. Eur. Math. Soc. (JEMS) 11, No. 3, 575-596 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 52A20 58E05 37J45 37C75 PDFBibTeX XMLCite \textit{W. Wang}, J. Eur. Math. Soc. (JEMS) 11, No. 3, 575--596 (2009; Zbl 1167.52009) Full Text: DOI arXiv Link
Alter, François; Caselles, Vicent Uniqueness of the Cheeger set of a convex body. (English) Zbl 1167.52005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 32-44 (2009). Reviewer: Martin Henk (Magdeburg) MSC: 52A20 49Q20 35J60 52A38 PDFBibTeX XMLCite \textit{F. Alter} and \textit{V. Caselles}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 32--44 (2009; Zbl 1167.52005) Full Text: DOI Link
Bangert, Victor; Croke, Christopher; Ivanov, Sergei V.; Katz, Mikhail G. Boundary case of equality in optimal Loewner-type inequalities. (English) Zbl 1122.53020 Trans. Am. Math. Soc. 359, No. 1, 1-17 (2007). Reviewer: Thomas Foertsch (Zürich) MSC: 53C23 57N65 52C07 PDFBibTeX XMLCite \textit{V. Bangert} et al., Trans. Am. Math. Soc. 359, No. 1, 1--17 (2007; Zbl 1122.53020) Full Text: DOI arXiv
Babenko, Ivan; Balacheff, Florent On the form of the unit ball of the one-dimensional stable norm. (Sur la forme de la boule unité de la norme stable unidimensionnelle.) (French) Zbl 1082.05509 Manuscr. Math. 119, No. 3, 347-358 (2006). MSC: 53C23 05C38 52B05 PDFBibTeX XMLCite \textit{I. Babenko} and \textit{F. Balacheff}, Manuscr. Math. 119, No. 3, 347--358 (2006; Zbl 1082.05509) Full Text: DOI arXiv
Hug, Daniel Absolute continuity for curvature measures of convex sets. III. (English) Zbl 1030.52003 Adv. Math. 169, No. 1, 92-117 (2002). Reviewer: W.Weil (Karlsruhe) MSC: 52A20 53C65 28A75 PDFBibTeX XMLCite \textit{D. Hug}, Adv. Math. 169, No. 1, 92--117 (2002; Zbl 1030.52003) Full Text: DOI
Colesanti, Andrea; Hug, Daniel Steiner type formulae and weighted measures of singularities for semi-convex functions. (English) Zbl 1096.49021 Trans. Am. Math. Soc. 352, No. 7, 3239-3263 (2000). Reviewer: Elżbieta Sadowska-Owczorz (Bielsko-Biała) MSC: 49Q15 26B25 52A41 28A78 52A20 49J52 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{D. Hug}, Trans. Am. Math. Soc. 352, No. 7, 3239--3263 (2000; Zbl 1096.49021) Full Text: DOI
Ludwig, Monika; Reitzner, Matthias A characterization of affine surface area. (English) Zbl 0947.52003 Adv. Math. 147, No. 1, 138-172 (1999). Reviewer: K.Leichtweiß (Stuttgart) MSC: 52A20 53A15 PDFBibTeX XMLCite \textit{M. Ludwig} and \textit{M. Reitzner}, Adv. Math. 147, No. 1, 138--172 (1999; Zbl 0947.52003) Full Text: DOI Link
Colesanti, Andrea; Salani, Paolo Generalised solutions of Hessian equations. (English) Zbl 0895.35033 Bull. Aust. Math. Soc. 56, No. 3, 459-466 (1997). MSC: 35J60 52A30 35D05 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{P. Salani}, Bull. Aust. Math. Soc. 56, No. 3, 459--466 (1997; Zbl 0895.35033) Full Text: DOI
Hug, Daniel Contributions to affine surface area. (English) Zbl 0871.52004 Manuscr. Math. 91, No. 3, 283-301 (1996). Reviewer: K.Leichtweiß (Stuttgart) MSC: 52A20 52A40 53A15 PDFBibTeX XMLCite \textit{D. Hug}, Manuscr. Math. 91, No. 3, 283--301 (1996; Zbl 0871.52004) Full Text: DOI EuDML
Hug, Daniel On the mean number of normals through a point in the interior of a convex body. (English) Zbl 0835.52011 Geom. Dedicata 55, No. 3, 319-340 (1995). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 52A40 53C65 PDFBibTeX XMLCite \textit{D. Hug}, Geom. Dedicata 55, No. 3, 319--340 (1995; Zbl 0835.52011) Full Text: DOI
Schmuckenschläger, M. The distribution function of the convolution square of a convex symmetric body in \({\mathbb{R}{}}^ n\). (English) Zbl 0774.52004 Isr. J. Math. 78, No. 2-3, 309-334 (1992). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A20 PDFBibTeX XMLCite \textit{M. Schmuckenschläger}, Isr. J. Math. 78, No. 2--3, 309--334 (1992; Zbl 0774.52004) Full Text: DOI
Arnold, Randolf Über die Schwerpunkte stark konvexer Bereiche der Sphäre. (About the centres of gravity of strongly convex regions of the sphere). (German) Zbl 0741.52012 J. Geom. 42, No. 1-2, 17-29 (1991). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A55 PDFBibTeX XMLCite \textit{R. Arnold}, J. Geom. 42, No. 1--2, 17--29 (1991; Zbl 0741.52012) Full Text: DOI
Innami, Nobuhiro Convex curves whose points are vertices of billiard triangles. (English) Zbl 0646.52002 Kodai Math. J. 11, No. 1, 17-24 (1988). Reviewer: W.Kühnel MSC: 52A10 53A04 PDFBibTeX XMLCite \textit{N. Innami}, Kodai Math. J. 11, No. 1, 17--24 (1988; Zbl 0646.52002) Full Text: DOI
Leichtweiß, Kurt Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies). (German) Zbl 0588.52011 Manuscr. Math. 56, 429-464 (1986). MSC: 52A30 53A15 PDFBibTeX XMLCite \textit{K. Leichtweiß}, Manuscr. Math. 56, 429--464 (1986; Zbl 0588.52011) Full Text: DOI EuDML
Fu, Joseph Howland Guthrie Tubular neighborhoods in Euclidean spaces. (English) Zbl 0592.52002 Duke Math. J. 52, 1025-1046 (1985). Reviewer: C.Udrişte MSC: 52A20 26B25 28A75 49Q15 PDFBibTeX XMLCite \textit{J. H. G. Fu}, Duke Math. J. 52, 1025--1046 (1985; Zbl 0592.52002) Full Text: DOI
Buchta, C.; Tichy, R. F. Random polytopes on the torus. (English) Zbl 0526.52005 Proc. Am. Math. Soc. 93, 312-316 (1985). MSC: 52A22 PDFBibTeX XMLCite \textit{C. Buchta} and \textit{R. F. Tichy}, Proc. Am. Math. Soc. 93, 312--316 (1985; Zbl 0526.52005) Full Text: DOI
Bangert, Victor Über die Approximation von lokal konvexen Mengen. (German) Zbl 0392.53027 Manuscr. Math. 25, 397-420 (1978). MSC: 53C20 52A20 52A05 53C22 PDFBibTeX XMLCite \textit{V. Bangert}, Manuscr. Math. 25, 397--420 (1978; Zbl 0392.53027) Full Text: DOI EuDML
Bangert, Victor Konvexe Mengen in Riemannschen Mannigfaltigkeiten. (German) Zbl 0369.52006 Math. Z. 162, 263-286 (1978). MSC: 52A20 53C20 PDFBibTeX XMLCite \textit{V. Bangert}, Math. Z. 162, 263--286 (1978; Zbl 0369.52006) Full Text: DOI EuDML