The Hilbert 3/2 Structure and Weil-Petersson Metric on the Space of the Diffeomorphisms of the Circle Modulo Conformal Maps

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dc.creatorSchonbek, M.
dc.creatorTodorov, A.
dc.creatorZubelli, J.
dc.date2007-05-22
dc.date2007-05-24
dc.date.accessioned2026-07-07T08:09:21Z
dc.date.available2026-07-07T08:09:21Z
dc.descriptionWe gave a new very simple proof that the completion of the space of the diffeomorphism of the circle modulo conformal maps with respect to the Weil-Petersson Metric is a complex analytic manifold modeled on the Hilbert space with 3/2 Sobolev norm. Our proof is based on the analogue of the Hadamard Theorem that the exponentila map is a complex analytic map from the tanegnt space of a point of a simply connected manifold to the manifold.
dc.descriptionA refernce to a Corollary was corrected
dc.identifierhttps://arxiv.org/abs/0705.3252
dc.identifierhttp://arxiv.org/abs/0705.3252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131513
dc.subjectMathematical Physics
dc.titleThe Hilbert 3/2 Structure and Weil-Petersson Metric on the Space of the Diffeomorphisms of the Circle Modulo Conformal Maps
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