Total absolute curvature of submanifolds in compact symmetric spaces of rank one

DOI10.1007/BF01215088zbMath0417.53031MaRDI QIDQ755199

Chih-chy Fwu

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/172961

zbMATH Keywords

Jacobi fieldssubmanifoldsnormal geodesicstotal absolute curvaturecompact symmetric spaces of rank one

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Cites Work

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• On the total curvature of immersed manifolds. II
• Complex differential and integral geometry and curvature integrals associated to singularities of complex analytic varieties
• Minimal total absolute curvature for immersions
• Morse theory on Hilbert manifolds
• On the Total Curvature of Immersed Manifolds
• Geometric applications of critical point theory to submanifolds of complex projective space
• Extension of the Rauch Comparison Theorem to Submanifolds
• Umbilical Submanifolds and Morse Functions

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