Corners in non-equiregular sub-Riemannian manifolds

Enrico Le Donne; Gian Paolo Leonardi; Roberto Monti; Davide Vittone

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arXiv · 1403.2356

Corners in non-equiregular sub-Riemannian manifolds

Enrico Le Donne·Gian Paolo Leonardi·Roberto Monti·Davide Vittone

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Abstract

We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional sub-Riemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.

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BibTeX RIS

Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti, Davide Vittone. 2014-03-10. Corners in non-equiregular sub-Riemannian manifolds. https://arxiv.org/abs/1403.2356

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