BAUDOIN, Fabrice; BONNEFONT, Michel; GAROFALO, Nicola; MUNIVE, Isidro H.

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BAUDOIN, Fabrice
Department of Mathematics

BONNEFONT, Michel
Institut de Mathématiques de Bordeaux [IMB]

GAROFALO, Nicola

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Journal of Functional Analysis. 2014, vol. 141, n° 11, p. 3919-3924

Elsevier

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In this paper we study global distance estimates and uniform local volume estimates in a large class of sub-Riemannian manifolds. Our main device is the generalized curvature dimension inequality introduced by the first and the third author in \cite{BG1} and its use to obtain sharp inequalities for solutions of the sub-Riemannian heat equation. As a consequence, we obtain a Gromov type precompactness theorem for the class of sub-Riemannian manifolds whose generalized Ricci curvature is bounded from below in the sense of \cite{BG1}.< Leer menos

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Volume and distance comparison theorems for sub-Riemannian manifolds

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