Liouville theorem for V-harmonic heat flows

2024/12/03 by Han Luo, Luo, Han, Weike Yu +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Advanced Thermodynamics and Statistical Mechanics #Differential Geometry (math.DG) #FOS: Mathematics #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2412.02305

openalex publication_date 2024/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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