Corners in non-equiregular sub-Riemannian manifolds

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

arxiv: 1403.2356 · v1 · pith:UVHSP5IOnew · submitted 2014-03-10 · 🧮 math.OC · math.AP· math.DG· math.MG

Corners in non-equiregular sub-Riemannian manifolds

Enrico Le Donne , Gian Paolo Leonardi , Roberto Monti , Davide Vittone This is my paper

classification 🧮 math.OC math.APmath.DGmath.MG

keywords sub-riemanniancornersmanifoldsnon-equiregularagrachevanalysisapplicationclass

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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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Corners in non-equiregular sub-Riemannian manifolds

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