Riemannian geometry of Diff(S1)/S1

被引：5
|
作者：
Gordina, M. [1 ]
Lescot, P.
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Univ Picardie, INSSET, F-02100 St Quentin en Yvelines, France
[3] Univ Picardie, LAMFA, Fac Math & Informat, F-80039 Amiens, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 239卷 / 02期
基金：
美国国家科学基金会;
关键词：
Virasoro algebra; group of diffeomorphisms; Ricci curvature;
D O I：
10.1016/j.jfa.2006.02.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：611 / 630
页数：20
相关论文
共 50 条
12345