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Geometric control and sub-Riemannian geodesics - Part I
Multi angle
Authors : Rifford, Ludovic (Author of the conference)
CIRM (Publisher )
49Jxx - Existence theory for optimal solutions
53C17 - Sub-riemannian geometry
CIRM (Publisher )
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Abstract :
This will be an introduction to sub-Riemannian geometry from the point of view of control theory. We will define sub-Riemannian structures and prove the Chow Theorem. We will describe normal and abnormal geodesics and discuss the completeness of the Carnot-Carathéodory distance (Hopf-Rinow Theorem). Several examples will be given (Heisenberg group, Martinet distribution, Grusin plane).
MSC Codes : 49Jxx - Existence theory for optimal solutions
53C17 - Sub-riemannian geometry
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 08/09/14 Conference Date : 01/09/14 Subseries : Research talks arXiv category : Optimization and Control ; Differential Geometry Mathematical Area(s) : Geometry ; Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 01:19:55 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-09-01_Rifford.mp4 
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Information on the Event
Event Title : Sub-Riemannian manifolds : from geodesics to hypoelliptic diffusion / Géométrie sous-riemannienne : des géodésiques aux diffusions hypoelliptiques Event Organizers : Agrachev, Andrei ; Boscain, Ugo ; Jean, Frédéric ; Sigalotti, Mario Dates : 01/09/14 - 05/09/14 Event Year : 2014 Event URL : http://www.cmap.polytechnique.fr/subriem...
Citation Data
DOI : 10.24350/CIRM.V.18598903Cite this video as: Rifford, Ludovic (2014). Geometric control and sub-Riemannian geodesics - Part I. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18598903 URI : http://dx.doi.org/10.24350/CIRM.V.18598903 |
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