Liouville theorems for ancient solutions to the V-harmonic map heat flows II
Differential Geometry
2024-12-09 v1
Abstract
When the domain is a complete noncompact Riemannian manifold with nonnegative Bakry--Emery Ricci curvature and the target is a complete Riemannian manifold with sectional curvature bounded above by a positive constant, by carrying out refined gradient estimates, we obtain a better Liouville theorem for ancient solutions to the V-harmonic map heat flows. Furthermore, we can also derive a Liouville theorem for quasi-harmonic maps under an exponential growth condition.
Cite
@article{arxiv.2412.04684,
title = {Liouville theorems for ancient solutions to the V-harmonic map heat flows II},
author = {Qun Chen and Hongbing Qiu},
journal= {arXiv preprint arXiv:2412.04684},
year = {2024}
}
Comments
This version had been submitted to a math journal in this May