Evolution of contractions by mean curvature flow

authored by

Andreas Savas-Halilaj, Knut Smoczyk

Abstract

In this article we investigate length decreasing maps (Forrmula presented.) between Riemannian manifolds (Forrmula presented.), (Forrmula presented.) of dimensions (Forrmula presented.) and (Forrmula presented.), respectively. Assuming that (Forrmula presented.) is compact and (Forrmula presented.) is complete such that (Forrmula presented.)where (Forrmula presented.), (Forrmula presented.) are positive constants, we show that the mean curvature flow provides a smooth homotopy of (Forrmula presented.) into a constant map.

Organisation(s)

Institut für Differentialgeometrie
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Mathematische Annalen

Volume

361

Pages

725-740

No. of pages

16

ISSN

0025-5831

Publication date

04.2015

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.1007/s00208-014-1090-y (Access: Unbekannt)