Johannes Wittmann
Published 2017-05-24Version 1
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.
Some explicit constructions of Dirac-harmonic maps
The simplicial volume of closed manifolds covered by H^2 x H^2
The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
![QR code for arXiv:1705.08935 [math.DG]](http://oss.arxitics.com/images/favicon.svg)