A sharp lower bound for the Ricci curvature of bounded hypersurfaces in space forms

DOI10.1017/S0004972700018591zbMath0992.53045OpenAlexW2013021495WikidataQ124956237 ScholiaQ124956237MaRDI QIDQ4515442

Alain R. Veeravalli

Publication date: 11 September 2002

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

Full work available at URL: https://doi.org/10.1017/s0004972700018591

zbMATH Keywords

Ricci curvaturespace formcomplete hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• A rigidity theorem for compact hypersurfaces with an upper bound for the Ricci curvature
• On the Ricci curvature of a hypersurface in a space form