Liouville theorem for $V$-harmonic heat flows
Differential Geometry
2024-12-04 v1
Abstract
In this paper, we investigate -harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectional curvature bounded above. We give a gradient estimate of ancient solutions to this flow and establish a Liouville type theorem.
Cite
@article{arxiv.2412.02305,
title = {Liouville theorem for $V$-harmonic heat flows},
author = {Han Luo and Weike Yu and Xi Zhang},
journal= {arXiv preprint arXiv:2412.02305},
year = {2024}
}
Comments
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