Publications at the Riemann Center
Homotopy of area decreasing maps by mean curvature flow
Abstract
Let f : M → N be a smooth area decreasing map between two Riemannian manifolds (M, gM) and (N, gN). Under weak and natural assumptions on the curvatures of (M, gM) and (N, gN), we prove that the mean curvature flow provides a smooth homotopy of f to a constant map.
Details
- Organisation(s)
-
Institute of Differential Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Advances in mathematics
- Volume
- 255
- Pages
- 455-473
- No. of pages
- 19
- ISSN
- 0001-8708
- Publication date
- 01.04.2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1016/j.aim.2014.01.014 (Access:
Open
)
