Nächste Punkte in der Riemannschen Geometrie

DOI10.1007/BF01214610zbMath0449.53037MaRDI QIDQ1147389

Norbert Kleinjohann

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183647

zbMATH Keywords

Riemannian manifoldconvex setsmetric projectiongeneralized second fundamental formEFP-setsgeneralized Allendoerffer-Weil formula for locally convex setslocally lipschitzunique footpoint property

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (16)

Integral Geometric Regularity ⋮ Unnamed Item ⋮ Kinematic formulas for sets defined by differences of convex functions ⋮ Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature ⋮ Curvatures for unions of WDC sets ⋮ Weighted lens depth: Some applications to supervised classification ⋮ The reach of subsets of manifolds ⋮ Some regularity of submetries ⋮ Sets with positive reach ⋮ A note on subsets of positive reach ⋮ Normal cycles and curvature measures of sets with d.c. boundary ⋮ On \(L^2\)-estimates for \(\bar\partial\) on a pseudoconvex domain in a complete Kähler manifold with positive holomorphic bisectional curvature ⋮ Remarks on manifolds with two-sided curvature bounds ⋮ Geometrical and analytical properties of Chebyshev sets in Riemannian manifolds ⋮ Curvature measures and soap bubbles beyond convexity ⋮ The structure of submetries

Cites Work

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• Convexity and the unique footpoint property in Riemannian geometry
• Riemannsche Geometrie im Großen. 2. Aufl
• A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type
• On the metric projection onto convex sets in riemannian spaces
• Some analytical properties of geodesically convex sets
• Über die Approximation von lokal konvexen Mengen
• Distance function and cut loci on a complete Riemannian manifold
• Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten.
• Extension of the Rauch Comparison Theorem to Submanifolds
• Über den Gaußschen und den Stokesschen Integralsatz. II

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