An integral formula for Lipschitz-Killing curvature and the critical points of height functions

DOI10.1007/s12220-010-9116-5zbMath1215.53051OpenAlexW2107347747MaRDI QIDQ535591

Katsuhiro Shiohama, Hong-Wei Xu

Publication date: 13 May 2011

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-010-9116-5

zbMATH Keywords

critical pointsBetti numbersisometric immersionMorse functionsphere theorems

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (4)

An eigenvalue pinching theorem for compact hypersurfaces in a sphere ⋮ Universal curvature identities. II. ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ First eigenvalue pinching for euclidean hypersurfaces via \(k\)-th mean curvatures

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