Structures Symplectiques sur les Espaces de Courbes Projectives et Affines
High Energy Physics - Theory
2009-10-28 v1 Symplectic Geometry
Abstract
A symplectic structure on the space of nondegenerate and nonparametrized curves in a locally affine manifold is defined. We also consider several interesting spaces of nondegenerate projective curves endowed with Poisson structures. This construction connects the Virasoro algebra and the Gel'fand-Dikii bracket with the projective differential geometry.
Keywords
Cite
@article{arxiv.hep-th/9409105,
title = {Structures Symplectiques sur les Espaces de Courbes Projectives et Affines},
author = {L. Guieu and V. Yu. Ovsienko},
journal= {arXiv preprint arXiv:hep-th/9409105},
year = {2009}
}
Comments
41 pages