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Differential forms and the Hölder equivalence problem - Part 1
Post-edited
Authors : Pansu, Pierre (Author of the conference)
CIRM (Publisher )
53C15 - General geometric structures on manifolds (almost complex, contact, symplectic, almost product structures, etc.)
53C20 - Global Riemannian geometry, including pinching, See Also { 31C12, 58B20}
CIRM (Publisher )
Abstract :
A sub-Riemannian distance is obtained when minimizing lengths of paths which are tangent to a distribution of planes. Such distances differ substantially from Riemannian distances, even in the simplest example, the 3-dimensional Heisenberg group. This raises many questions in metric geometry: embeddability in Banach spaces, bi-Lipschitz or bi-Hölder comparison of various examples. Emphasis will be put on Gromov's results on the Hölder homeomorphism problem, and on a quasisymmetric version of it motivated by Riemannian geometry.
MSC Codes : 53C15 - General geometric structures on manifolds (almost complex, contact, symplectic, almost product structures, etc.)
53C20 - Global Riemannian geometry, including pinching, See Also { 31C12, 58B20}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/09/14 Conference Date : 01/09/14 Subseries : Research talks arXiv category : Differential Geometry Mathematical Area(s) : Geometry Format : QuickTime (.mov) Video Time : 01:21:59 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-09-01_Pansu.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 hypoelliptiquesEvent Organizers : Agrachev, Andrei A. ; 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.18559803Cite this video as: Pansu, Pierre (2014). Differential forms and the Hölder equivalence problem - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18559803 URI : http://dx.doi.org/10.24350/CIRM.V.18559803 |
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