The Virasoro group and the fourth geometry of Poincaré

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We investigate, in some details, symplectic equivalence between several conformal classes of Lorentz metrics on the hyperboloid of one sheet $H^{1,1} \cong T \times T - Δ$ and affine coadjoint orbits of the group $Diff_+(Δ)$ of orientation preserving diffeomorphisms of $Δ\cong T$ with its natural projective structure. This will allow for generalizations, namely, to the case of arbitrary projective structures on null infinity.
27 pages, LaTeX

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Differential Geometry, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/77086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806135
 http://arxiv.org/abs/math/9806135

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arXiv