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

On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds
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DOI:
10.1090/proc/14451
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发表时间:
2018-09
影响因子:
1
通讯作者:
Fabrice Baudoin;M. Gordina;Phanuel Mariano
Fabrice Baudoin;M. Gordina;Phanuel Mariano
中科院分区:
数学3区
文献类型:
--
作者:
Fabrice Baudoin;M. Gordina;Phanuel Mariano

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在这篇注记中,我们证明了在{BaudoinBonneFont2016,BaudoinGarofalo2013,Coulhon酱KoskelaSikora2017}中的结果如何给出了两类次黎曼流形:卡诺群和满足广义曲率-维不等的次黎曼流形的cheng-yau估计。
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.