Geometric Approach to the Weil-Petersson Symplectic Form

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dc.creatorAxelsson, Reynir
dc.creatorSchumacher, Georg
dc.date2008-08-27
dc.date2008-08-28
dc.date.accessioned2026-07-07T09:58:42Z
dc.date.available2026-07-07T09:58:42Z
dc.descriptionIn a family of compact, canonically polarized, complex manifolds the first variation of the lengths of closed geodesics is computed. As an application, we show the coincidence of the Fenchel-Nielsen and Weil-Petersson symplectic forms on the Teichmueller spaces of compact Riemann surfaces in a purely geometric way. The method can also be applied to situations like moduli spaces of weighted punctured Riemann surfaces, where the methods of Kleinian groups are not available.
dc.identifierhttps://arxiv.org/abs/0808.3741
dc.identifierhttp://arxiv.org/abs/0808.3741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167815
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32G15; 30F60
dc.titleGeometric Approach to the Weil-Petersson Symplectic Form
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