Remarks on Entropy Formulae for Linear Heat Equation
Differential Geometry
2022-07-29 v5
Abstract
In this note, we prove some new entropy formula for linear heat equation on static Riemannian manifold with nonnegative Ricci curvature. The results are analogies of Cao and Hamilton's entropies for Ricci flow coupled with heat-type equations.
Keywords
Cite
@article{arxiv.1705.00765,
title = {Remarks on Entropy Formulae for Linear Heat Equation},
author = {Yucheng Ji},
journal= {arXiv preprint arXiv:1705.00765},
year = {2022}
}
Comments
Final version; to appear in Differential Geometry and its Applications