Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589978 | Journal of Functional Analysis | 2005 | 23 Pages |
Abstract
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 [3] 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 [3].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fabrice Baudoin, Michel Bonnefont, Nicola Garofalo, Isidro H. Munive,