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arXiv 1809.07433math.APmath.DGmath.PR
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关于Carnot群和子黎曼流形的Cheng-Yau梯度估计

On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds

Fabrice Baudoin, Maria Gordina, Phanuel Mariano

摘要:

本文证明了\cite{BaudoinBonnefont2016, BaudoinGarofalo2013, CoulhonJiangKoskelaSikora2017}中的结果如何给出两类子黎曼流形:Carnot群和满足广义曲率维数不等式的子黎曼流形上的Cheng-Yau估计.

英文摘要:

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.

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