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A new characterization of geodesic spheres in space forms

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Publication:1032852
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DOI10.1016/j.crma.2009.09.012zbMath1176.53044OpenAlexW2062880908MaRDI QIDQ1032852

Julien Roth

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.012

zbMATH Keywords

constant mean curvature


Mathematics Subject Classification ID

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


Related Items

New stability results for spheres and Wulff shapes



Cites Work

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  • Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces
  • Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
  • A characteristic property of spheres
  • New examples of constant mean curvature immersions of (2k-1)-spheres into euclidean 2k-space
  • Counterexample to a conjecture of H. Hopf
  • Constant mean curvature surfaces constructed by fusing Wente tori
  • An end-to-end construction for compact constant mean curvature surfaces
  • A correction to: Sobolev and isoperimetric inequalities for riemannian submanifolds
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