On hypersurfaces with constant scalar curvature in a Riemannian manifold of constant curvature

DOI10.2996/kmj/1138846639zbMath0256.53036OpenAlexW2075156788WikidataQ115224421 ScholiaQ115224421MaRDI QIDQ5671354

Hisao Nakagawa, Ichiro Yokote

Publication date: 1972

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

Full work available at URL: https://doi.org/10.2996/kmj/1138846639

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Differential geometry of submanifolds ⋮ On the Sacksteder decomposition of complete W-hypersurfaces of nonnegative sectional curvature ⋮ On the maximum principles of A. D. Alexandrov in the uniqueness theory for hypersurfaces ⋮ A further method in global differential geometry

Cites Work

• Unnamed Item
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• Local rigidity theorems for minimal hypersurfaces
• Vector forms and integral formulas for hypersurfaces in Euclidean space
• Minimal varieties in Riemannian manifolds
• Homogeneity and some curvature conditions for hypersurfaces
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Some Integral Formulas for Closed Hypersurfaces in Euclidean Space
• On Hypersurfaces with no Negative Sectional Curvatures
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
• Integral formulas for closed hypersurfaces
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
• Some integral formulas for closed hypersurfaces

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