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;
2015-01-01

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.
2015
3
LE DONNE, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/229158
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