Liouville theorem for \(V\)-harmonic heat flows

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 typ...

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Bibliographic Details
Published in:arXiv.org 2024-12
Main Authors: Luo, Han, Yu, Weike, Zhang, Xi
Format: Article
Language:English
Subjects:
Curvature
Heat transfer
Heat transmission
Liouville theorem
Riemann manifold
Online Access:Get full text
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Summary: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.
ISSN:2331-8422