Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds

DOI10.1090/proc/13562zbMath1457.53044OpenAlexW2559251981WikidataQ115290826 ScholiaQ115290826MaRDI QIDQ5351807

Shicheng Zhang

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13562

zbMATH Keywords

Riemannian productlocally symmetricinfinite fundamental group

Mathematics Subject Classification ID

Global submanifolds (53C40) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35)

Related Items

Homology vanishing theorems for pinched submanifolds

Cites Work

• Totally umbilic hypersurfaces
• Closed hypersurfaces with constant mean curvature in a symmetric manifold
• Hypersurfaces with constant scalar curvature
• Compact hypersurfaces in a unit sphere with infinite fundamental group.
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• Minimal varieties in Riemannian manifolds
• Rigidity theorems for closed hypersurfaces in a unit sphere
• Hypersurfaces in a sphere with constant mean curvature
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• A characterization of the Clifford torus
• On Closed Minimal Submanifolds in Pinched Riemannian Manifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
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