Calculus of Variations and Geometric Measure Theory
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E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone

Corners in non-equiregular sub-Riemannian manifolds

created by vittone on 10 Mar 2014
modified by ledonne on 25 Aug 2014

[BibTeX]

Accepted Paper

Inserted: 10 mar 2014
Last Updated: 25 aug 2014

Journal: ESAIM Control Optim. Calc. Var.
Year: 2014

Abstract:

We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results of $[4]$. 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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