The curvature and topological properties of hypersurfaces with constant scalar curvature

DOI10.1017/S0004972700035796zbMath1082.53068OpenAlexW172966958MaRDI QIDQ4660445

Shichang Shu, San-Yang Liu

Publication date: 21 March 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700035796

zbMATH Keywords

hypersurfacescalar curvaturetopological properties

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Minimal submanifolds in a sphere
• Hypersurfaces with constant scalar curvature
• On stable currents and their application to global problems in real and complex geometry
• HYPERSURFACES IN A UNIT SPHERE Sⁿ⁺¹(1) WITH CONSTANT SCALAR CURVATURE
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Hypersurfaces with Constant Mean Curvature in Spheres
• Homology Spheres Which are Covered by Spheres

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