The regularity problem for geodesics of the control distance

Roberto Monti

Abstract


In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.

Keywords


Geodesics; regularity of length minimizers; Carnot-Carathéodory spaces; sub-Riemannian geometry; Carnot groups

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DOI: 10.6092/issn.2240-2829/8969

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Copyright (c) 2018 Roberto Monti

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