Ricci curvatures in Carnot groups
classification
🧮 math.OC
math.DGmath.MG
keywords
carnotgroupsmetricpropertiessub-riemannianassociatedboundcontraction
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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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