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math.DG2016
Sub-Riemannian curvature of Carnot groups with rank-two distributions
Isidro H. Munive
The notion of curvature discussed in this paper is a far going generalization of the Riemannian sectional curvature. It was first introduced by Agrachev, Barilari and Rizzi in arXi…
math.DG2012
Volume and distance comparison theorems for sub-Riemannian manifolds
Fabrice Baudoin, Michel Bonnefont, Nicola Garofalo +1
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 dimen…