Scalar Curvature, Inequality and Submanifold

DOI10.2307/2038959zbMath0256.53041OpenAlexW4243339048WikidataQ125964556 ScholiaQ125964556MaRDI QIDQ5671358

Bang-Yen Chen, Masafumi Okumura

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038959

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (16)

Topological obstructions for submanifolds in low codimension ⋮ Liouville-type theorems for subharmonic functions on complete manifolds ⋮ A new gap for complete hypersurfaces with constant mean curvature in space forms ⋮ Generalized Hopf manifolds with flat local Kaelher metrics ⋮ Characterization of Totally Umbilical Hypersurfaces ⋮ Global rigidity theorems of hypersurfaces ⋮ Differential geometry of submanifolds ⋮ Submanifolds with parallel mean curvature vector field in product spaces ⋮ Scalar curvature of Lagrangian Riemannian submersions and their harmonicity ⋮ On the isoperimetric rigidity of extrinsic minimal balls. ⋮ Mean curvature flow of arbitrary codimension in complex projective spaces ⋮ Inequalities for scalar curvature of pseudo-Riemannian submanifolds ⋮ Some pinching and classification theorems for minimal submanifolds ⋮ Non-existence of stable currents in submanifolds of the Euclidean spaces ⋮ On the Scalar Curvature and Sectional Curvatures of a Kaehler Submanifold ⋮ Rigidity theorems for closed hypersurfaces in a unit sphere

Cites Work

• Submanifolds of constant mean curvature
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• On the mean curvature of submanifolds of euclidean space

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