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

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  • Ruhr-Universität Bochum
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OriginalspracheEnglisch
Seiten (von - bis)155-170
Seitenumfang16
FachzeitschriftCalculus of Variations and Partial Differential Equations
Jahrgang4
Ausgabenummer2
PublikationsstatusVeröffentlicht - Feb. 1996
Extern publiziertJa

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.

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Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature. / Smoczyk, Knut.
in: Calculus of Variations and Partial Differential Equations, Jahrgang 4, Nr. 2, 02.1996, S. 155-170.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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