On the Sacks-Uhlenbeck flow of Riemannian surfaces
Analysis of PDEs
2010-08-11 v2 Differential Geometry
Abstract
In this paper, we study an -flow for the Sack-Uhlenbeck functional on Riemannian surfaces and prove that the limiting map by the -flows is a weak solution to the harmonic map flow. By an application of the -flow, we present a simple proof of an energy identity of a minimizing sequence in each homotopy class.
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Cite
@article{arxiv.1007.3052,
title = {On the Sacks-Uhlenbeck flow of Riemannian surfaces},
author = {Min-Chun Hong and Hao Yin},
journal= {arXiv preprint arXiv:1007.3052},
year = {2010}
}
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