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

Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel

doi:10.1090/proc/14451

On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds
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Proc. Amer. Math. Soc. 147 (2019), 3181-3189 Request permission

Abstract:

In this note we show how results in earlier works 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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