Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups

被引：22

作者：

Arvanitoyeorgos, Andreas ^{[1
]}

Dzhepko, V. V. ^{[2
]}

Nikonorov, Yu. G. ^{[2
]}

机构：

[1] Univ Patras, Dept Math, GR-26500 Patras, Greece

[2] Rubtsovsk Ind Inst, Rubtsovsk 658207, Russia

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2009年 / 61卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Riemannian manifolds; homogeneous spaces; Einstein metrics; Stiefel manifolds; SCALAR CURVATURE; MANIFOLDS;

D O I：

10.4153/CJM-2009-056-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Riemannian manifold (M, rho) is called Einstein if the metric rho satisfies the condition Ric(rho) = c . rho for some constant c. This paper is devoted to the investigation of G-invariant Einstein metrics, with additional symmetries, on some homogeneous spaces G/H of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds SO(n)/SO(l). Furthermore, we show that for any positive integer p there exists a Stiefel manifold SO(n)/SO(l) that admits at least p SO(n)-invariant Einstein metrics.

引用

页码：1201 / 1213

页数：13

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