On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds
Analysis of PDEs
2018-10-19 v2 Differential Geometry
Probability
Abstract
In this note we show how results in \cite{BaudoinBonnefont2016, BaudoinGarofalo2013, CoulhonJiangKoskelaSikora2017} yield the Cheng-Yau estimate on two classes of sub-Riemannian manifolds: Carnot groups and sub-Riemannian manifolds satisfying a generalized curvature-dimension inequality.
Keywords
Cite
@article{arxiv.1809.07433,
title = {On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds},
author = {Fabrice Baudoin and Maria Gordina and Phanuel Mariano},
journal= {arXiv preprint arXiv:1809.07433},
year = {2018}
}
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9 pages