The axiom of generalized hyperspheres in Riemannian geometry

DOI10.2996/kmj/1138037051zbMath0584.53012OpenAlexW1973327967WikidataQ114584956 ScholiaQ114584956MaRDI QIDQ1070529

Nobuhiro Innami, Koichi Shiga

Publication date: 1985

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037051

zbMATH Keywords

constant curvatureumbilicalaxiom of generalized hyperspheres

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (1)

A proof of existence of the stable Jacobi tensor

Cites Work

• Jacobi tensors and Ricci curvature
• Geometry of horospheres
• The axiom of n-planes and convexity in Riemannian manifolds
• Horospheres and the stable part of the geodesic flow
• Remarks on uniformly expanding horocycle parameterizations
• The mean curvature for p-plane
• The axiom of spheres in Riemannian geometry
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