English

Revisiting Li-Yau type inequalities on Riemannian manifolds

Differential Geometry 2021-05-11 v1

Abstract

Inspired Yau's work (Comm. Anal. Geom., 1994), in this short note we provide a new version of Li-Yau gradient estimate for the linear heat equation, which generalizes some known results and gives new gradient estimates. Also we explain the different known results as different cases here.

Keywords

Cite

@article{arxiv.2105.03609,
  title  = {Revisiting Li-Yau type inequalities on Riemannian manifolds},
  author = {Bin Qian},
  journal= {arXiv preprint arXiv:2105.03609},
  year   = {2021}
}

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