Some analytical properties of geodesically convex sets

DOI10.1007/BF02992922zbMath0332.53026MaRDI QIDQ1228103

Rolf Walter

Publication date: 1976

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Local Riemannian geometry (53B20)

Related Items (18)

On the mean number of normals through a point in the interior of a convex body ⋮ A Priori Error Analysis for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind ⋮ Skinning measures in negative curvature and equidistribution of equidistant submanifolds ⋮ Convexity and the unique footpoint property in Riemannian geometry ⋮ Nächste Punkte in der Riemannschen Geometrie ⋮ Normal cycles of Lipschitz manifolds by approximation with parallel sets. ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ Counting common perpendicular arcs in negative curvature ⋮ Properties of distance functions on convex surfaces and applications ⋮ On strictly convex subsets in negatively curved manifolds ⋮ Absolute continuity for curvature measures of convex sets. III ⋮ Affine diameters of convex bodies ⋮ Konvexe Mengen in Riemannschen Mannigfaltigkeiten ⋮ Über die Approximation von lokal konvexen Mengen ⋮ Sensitivity analysis for a class of \(H_{0}^{1}\)-elliptic variational inequalities of the second kind ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Fine properties of the curvature of arbitrary closed sets ⋮ Stably embedded surfaces of bounded integral curvature

Cites Work

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• A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type
• On the metric projection onto convex sets in riemannian spaces
• On the structure of complete manifolds of nonnegative curvature
• Über den Gaußschen und den Stokesschen Integralsatz. II

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