Publications at the Riemann Center

Curvature decay estimates of graphical mean curvature flow in higher codimensions

authored by
Knut Smoczyk, Mao Pei Tsui, Mu Tao Wang
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.

Organisation(s)
Institut für Differentialgeometrie
Riemann Center for Geometry and Physics
External Organisation(s)
National Taiwan University
University of Toledo
Columbia University
Type
Artikel
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
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Mathematik (insg.), Angewandte Mathematik
Electronic version(s)
https://doi.org/10.1090/tran/6624 (Access: Unbekannt)