%0 Journal Article
%T Riemannian geometry of ${\rm Diff}(S^1)/S^1$ and representations of the Virasoro algebra
%A M. Gordina
%A P. Lescot
%J Mathematics
%D 2005
%I arXiv
%X The main result of the paper is a computation of the Ricci curvature of $\DS/S^1$. Unlike earlier results on the subject, we do not use the K\"{a}hler structure symmetries to compute the Ricci curvature, but rather rely on classical finite-dimensional results of Nomizu et al on Riemannian geometry of homogeneous spaces.
%U http://arxiv.org/abs/math-ph/0510092v2