The regularity problem for geodesics of the control distance

Authors

  • Roberto Monti Università di Padova

DOI:

https://doi.org/10.6092/issn.2240-2829/8969

Keywords:

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

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.

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Published

2018-12-31

How to Cite

Monti, R. (2018). The regularity problem for geodesics of the control distance. Bruno Pini Mathematical Analysis Seminar, 9(1), 137–146. https://doi.org/10.6092/issn.2240-2829/8969

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Articles