Gradient estimates for the heat equation under the Ricci-Harmonic Map flow
Differential Geometry
2016-08-10 v1
Abstract
The paper establishes a series of gradient estimates for positive solutions to the heat equation on a manifold evolving under the Ricci flow, coupled with the harmonic map flow between and a second manifold . We prove Li-Yau type Harnack inequalities and we consider the cases when is a complete manifold without boundary and when is compact, without boundary.
Cite
@article{arxiv.1309.0139,
title = {Gradient estimates for the heat equation under the Ricci-Harmonic Map flow},
author = {Mihai Băileşteanu},
journal= {arXiv preprint arXiv:1309.0139},
year = {2016}
}
Comments
13 pages