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

Fabrice Baudoin; Maria Gordina; Phanuel Mariano

arxiv: 1809.07433 · v2 · pith:V7JI66NOnew · submitted 2018-09-19 · 🧮 math.AP · math.DG· math.PR

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

Fabrice Baudoin , Maria Gordina , Phanuel Mariano This is my paper

classification 🧮 math.AP math.DGmath.PR

keywords manifoldssub-riemanniancarnotcheng-yauestimategroupsbaudoinbonnefont2016baudoingarofalo2013

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

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