Total curvatures of geodesic spheres

DOI10.1007/BF01238518zbMath0416.53025OpenAlexW1972763012MaRDI QIDQ754495

Bang-Yen Chen, Lieven Vanhecke

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238518

zbMATH Keywords

second fundamental formRiemannian manifoldconstant curvaturegeodesic spherestotal curvatures

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Total curvatures of geodesic spheres associated to quadratic curvature invariants ⋮ Total Scalar Curvature of Tubes about Curves

Cites Work

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• Riemannian geometry as determined by the volumes of small geodesic balls
• The volume of a small geodesic ball of a Riemannian manifold
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the Total Curvature of Immersed Manifolds
• An Invariant of Conformal Mappings

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