Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Li-Yau and Harnack type inequalities in $RCD^*(K,N)$ metric measure spaces (1306.0494v1)

Published 3 Jun 2013 in math.AP and math.MG

Abstract: Metric measure spaces satisfying the reduced curvature-dimension condition $CD*(K,N)$ and where the heat flow is linear are called $RCD*(K,N)$-spaces. This class of non smooth spaces contains Gromov-Hausdorff limits of Riemannian manifolds with Ricci curvature bounded below by $K$ and dimension bounded above by $N$. We prove that in $RCD*(K,N)$-spaces the following properties of the heat flow hold true: a Li-Yau type inequality, a Bakry-Qian inequality, the Harnack inequality.

Summary

We haven't generated a summary for this paper yet.