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Sur quelques aspects riemanniens des structures de contact en dimension trois

Abstract : This thesis study some riemannian properties of contact structures on 3--manifolds and their relationship with the topology of such structures. In the first part we describe various notions of curvature of plane fields on riemannian 3--manifolds by comparing several not well known approaches. In the second part we describe the topological techniques applied to the study of contact structures on 3--manifolds. The third part, which contains most of the new results of this thesis, is a study of geodesible contact structures on 3--manifolds using the tools described in the second part.
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https://tel.archives-ouvertes.fr/tel-00347962
Contributor : Patrick Massot <>
Submitted on : Wednesday, December 17, 2008 - 11:52:51 AM
Last modification on : Tuesday, November 19, 2019 - 12:27:33 PM
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Patrick Massot. Sur quelques aspects riemanniens des structures de contact en dimension trois. Mathématiques [math]. Ecole normale supérieure de lyon - ENS LYON, 2008. Français. ⟨tel-00347962⟩

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