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Konvexität in riemannschen Mannigfaltigkeiten

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Publication:1157027
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zbMath0469.53034MaRDI QIDQ1157027

Rolf Walter

Publication date: 1981

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)


zbMATH Keywords

second fundamental formconvex functiongeodesicconvex setLipschitz manifoldsmooth approximationGauß-Bonnet


Mathematics Subject Classification ID

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


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Random Polytopes on the Torus ⋮ Geodesics and totally convex sets on surfaces ⋮ Isometries of spaces of compact or compact convex subsets of metric manifolds ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ Über die Schwerpunkte stark konvexer Bereiche der Sphäre. (About the centres of gravity of strongly convex regions of the sphere) ⋮ Linear combinations of convex hypersurfaces in non-Euclidean geometry ⋮ Absolute continuity for curvature measures of convex sets. III ⋮ Visibility of surfaces via differential geometry ⋮ Compact hypersurfaces with a constant higher mean curvature function ⋮ Curvature measures and soap bubbles beyond convexity



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