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On the mean curvatures sharp estimates of hypersurfaces

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Publication:699007
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DOI10.1016/S0723-0869(02)80022-6zbMath1018.53023MaRDI QIDQ699007

Alain R. Veeravalli

Publication date: 2 September 2003

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

hypersurfacemean curvatureestimate


Mathematics Subject Classification ID

Global submanifolds (53C40)


Related Items

Higher order mean curvature estimates for bounded complete hypersurfaces ⋮ Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces ⋮ Higher order mean curvature estimates for complete hypersurfaces into horoballs



Cites Work

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  • Sphere theorems via Alexandrov for constant Weingarten curvature hypersurfaces. Appendix to a note of A. Ros
  • An inequality between the exterior diameter and the mean curvature of bounded immersions
  • A sufficient condition for a compact immersion to be spherical
  • On the Riemannian structure all of whose geodesics are closed and of the same length
  • A characterization for geodesic spheres in space forms
  • Variational properties of functions of the mean curvatures for hypersurfaces in space forms
  • On convex hypersurfaces of space forms
  • On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces
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