Publications at the Riemann Center
Curvature decay estimates of graphical mean curvature flow in higher codimensions
Abstract
We derive pointwise curvature estimates for graphical mean curvature flows in higher codimensions for a flat ambient space. To the best of our knowledge, these are the first such estimates without assuming smallness of first derivatives of the defining map. An immediate application is a convergence theorem of the mean curvature flow of the graph of an area decreasing map between flat Riemann surfaces.
Details
- Organisation(s)
-
Institute of Differential Geometry
Riemann Center for Geometry and Physics
- External Organisation(s)
-
National Taiwan University
University of Toledo
Columbia University
- Type
- Article
- Journal
- Transactions of the American Mathematical Society
- Volume
- 368
- Pages
- 7763-7775
- No. of pages
- 13
- ISSN
- 0002-9947
- Publication date
- 01.01.2016
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1090/tran/6624 (Access:
Unknown
)
