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Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature

  • Knut Smoczyk
Article

Abstract

This paper concerns the deformation by mean curvature of hypersurfaces M in Riemannian spaces Ñ that are invariant under a subgroup of the isometry-group on Ñ. We show that the hypersurfaces contract to this subgroup, if the cross-section satisfies a strong convexity assumption.

Mathematics subject classification (1991)

53C45 53C42 35B40 

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Knut Smoczyk
    • 1
  1. 1.Department of MathematicsRuhr-UniversityBochumGermany

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