Publications at the Riemann Center
Evolution of contractions by mean curvature flow
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.
Details
- Organisation(s)
-
Institute of Differential Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Mathematische Annalen
- Volume
- 361
- Pages
- 725-740
- No. of pages
- 16
- ISSN
- 0025-5831
- Publication date
- 04.2015
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1007/s00208-014-1090-y (Access:
Unknown
)
