A topological characterization of compact \(n\)-manifolds with \(C^ 2\)- boundary in \(R^ n\)

DOI10.1016/0166-8641(92)90132-JzbMath0749.52005MaRDI QIDQ1190689

Young Do Chai

Publication date: 26 September 1992

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

indexfocal point\(p^*\)-convexprincipal normal curvatures

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

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Cites Work

• Filling Riemannian manifolds
• P-convex Riemannian manifolds
• A Geometric Inequality for Certain Types of Compact Sets in R n
• Morse Theory. (AM-51)
• A Characterization of Convex Bodies
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