Ricci curvatures in Carnot groups

Published 26 May 2013 in math.OC, math.DG, and math.MG | (1305.6057v1)

Abstract: We study metric contraction properties for metric spaces associated with left-invariant sub-Riemannian metrics on Carnot groups. We show that ideal sub-Riemannian structures on Carnot groups satisfy such properties and give a lower bound of possible curvature exponents in terms of the datas.

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Authors (1)

Ludovic Rifford

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