Shu-Cheng ChangNational Taiwan UniversityYuxin DongFudan UniversityYingbo HanXinyang Normal University
Differential Geometrymathscidoc:1611.10002
In this paper, we consider the heat flow for p-pseudoharmonic maps from a closed Sasakian manifold into a compact Riemannian manifold. We prove global existence and asymptotic convergence of the solution for the p-pseudoharmonic map heat flow provided that the sectional curvature of the target manifold is nonpositive. Moreover, without the curvature assumption on the target manifold, we obtain global existence and asymptotic convergence of the p-pseudoharmonic map heat flow as well when
its initial p-energy is sufficiently small.
@inproceedings{shu-chengon,
title={ON THE p-PSEUDOHARMONIC MAP HEAT FLOW},
author={Shu-Cheng Chang, Yuxin Dong, and Yingbo Han},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161101100746470609604},
}
Shu-Cheng Chang, Yuxin Dong, and Yingbo Han. ON THE p-PSEUDOHARMONIC MAP HEAT FLOW. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161101100746470609604.