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arXiv · 2412.02305

Liouville theorem for $V$-harmonic heat flows

Han Luo·Weike Yu·Xi Zhang
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Abstract

In this paper, we investigate $V$-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.

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Han Luo, Weike Yu, Xi Zhang. 2024-12-03. Liouville theorem for $V$-harmonic heat flows. https://arxiv.org/abs/2412.02305

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