Compact submanifolds in space forms

DOI10.1007/s00022-010-0056-9zbMath1208.53067OpenAlexW2038027132MaRDI QIDQ622552

Sharief Deshmukh, J. Miguel Malacarne

Publication date: 3 February 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0056-9

zbMATH Keywords

Ricci curvaturemean curvature vector fieldclosed conformal vector field

Mathematics Subject Classification ID

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

Related Items

Conformal vector fields on Kaehler manifolds

Cites Work

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• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• Submanifolds of positive Ricci curvature in a Euclidean space
• Closed conformal vector fields
• Some applications of integral formulas in Riemannian geometry and PDE's
• New viewpoints in the geometry of submanifolds of 𝑅^{𝑁}
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds