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Vidéo Année : 2017

R. Monti - Excess and tangents of sub-Riemannian geodesics

Afficher 

Fanny Bastien

Résumé

We present some recent results on the regularity problem of sub-Riemannian length minimizing curves. This is a joint work with A. Pigati and D. Vittone. After introducing the notion of excess for a horizontal curve, we show that at any point of a length minimizing curve excess is infinitesimal at some sequence of scales. This implies the existence of a linear tangent. We also discuss other results related to excess.

Dates et versions

medihal-01721733 , version 1 (02-03-2018)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01721733 , version 1

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Roberto Monti, Fanny Bastien. R. Monti - Excess and tangents of sub-Riemannian geodesics: Sub-riemannian days 2017. 2017. ⟨medihal-01721733⟩
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