Structures Symplectiques sur les Espaces de Courbes Projectives et Affines
arXiv:hep-th/9409105 · doi:10.1016/0393-0440(94)00024-X
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.
41 pages