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DTSTART;VALUE=DATE:20141111T171500
DTEND;VALUE=DATE:20141111T171500
UID:5718@agenda.unifr.ch
DESCRIPTION:A sub-Riemannian manifold is a manifold $M$ endowed with a distinguished subbundle $HM$ of the tangent bundle $TM$ and with a metric on $HM$. A distance on $M$ can be defined on minimizing the length among curves which are tangent to $HM$. One of the main open problems in the field is the regularity of length minimizers: this is not trivial due to the presence of the so called abnormal curves. We provide a characterization of abnormal curves in stratified Lie groups showing that these curves are contained in certain algebraic varieties; applications to the problem of geodesics' regularity will be discussed. This is based on a joint work with E. Le Donne, G. P.\nLeonardi and R. Monti.
SUMMARY:Davide Vittone (Università di Padova): The regularity problem for sub-Riemannian geodesics
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5718
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