Publications at the Riemann Center

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)