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)