A characterization for geodesic spheres in space forms

DOI10.1023/A:1004997824188zbMath0886.53040OpenAlexW174835633MaRDI QIDQ1376486

Theodoros Vlachos

Publication date: 23 April 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004997824188

zbMATH Keywords

hypersurfacespace formgeodesic spherem-th mean curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Higher order mean curvature estimates for bounded complete hypersurfaces ⋮ Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces ⋮ Extrinsic radius pinching in space forms of nonnegative sectional curvature ⋮ Higher order mean curvature estimates for complete hypersurfaces into horoballs ⋮ Rigidity of spheres in Riemannian manifolds and a non-embedding theorem ⋮ On the mean curvatures sharp estimates of hypersurfaces ⋮ Curvature properties of compact spacelike hypersurfaces in de Sitter space ⋮ Fundamental tone estimates for elliptic operators in divergence form and geometric applications

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