Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds
Differential Geometry
2017-05-26 v1
Abstract
The heat flow for Dirac-harmonic maps on Riemannian spin manifolds is a modification of the classical heat flow for harmonic maps by coupling it to a spinor. It was introduced by Chen, Jost, Sun, and Zhu as a tool to get a general existence program for Dirac-harmonic maps. For source manifolds with boundary they obtained short time existence and the existence of a global weak solution was established by Jost, Liu, and Zhu. We prove short time existence of the heat flow for Dirac-harmonic maps on closed manifolds.
Keywords
Cite
@article{arxiv.1705.08935,
title = {Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds},
author = {Johannes Wittmann},
journal= {arXiv preprint arXiv:1705.08935},
year = {2017}
}