Riemannian geometry of Diff(S-1)/S-1

摘要

The main result of the paper is a computation of the Ricci curvature of Diff (S-1)/S-1. Unlike earlier results on the subject, we do not use the Kahler 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. (c) 2006 Elsevier Inc. All rights reserved.