We study length minimality of abnormal curves in rank 2 sub-Rieman\-nian manifolds of polynomial type. As a corollary, we prove a $C^{1,\delta}$ regularity result for Carnot-Carath\'eodory geode\-sics in a class of rank 2 Carnot groups.
Regularity results for sub-Riemannian geodesics
MONTI, ROBERTO
2014
Abstract
We study length minimality of abnormal curves in rank 2 sub-Rieman\-nian manifolds of polynomial type. As a corollary, we prove a $C^{1,\delta}$ regularity result for Carnot-Carath\'eodory geode\-sics in a class of rank 2 Carnot groups.
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