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.
Corners in non-equiregular sub-Riemannian manifolds / LE DONNE, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide. - In: ESAIM. COCV. - ISSN 1292-8119. - STAMPA. - 21:3(2015), pp. 625-634. [10.1051/cocv/2014041]
Corners in non-equiregular sub-Riemannian manifolds
LEONARDI, Gian Paolo;
2015
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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