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

authored by

Knut Smoczyk

Abstract

This paper concerns the deformation by mean curvature of hypersurfaces M̃ 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.

External Organisation(s)

Ruhr-Universität Bochum

Type

Article

Journal

Calculus of Variations and Partial Differential Equations

Volume

4

Pages

155-170

No. of pages

16

ISSN

0944-2669

Publication date

02.1996

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis, Applied Mathematics

Electronic version(s)

https://doi.org/10.1007/BF01189952 (Access: Unknown)