On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension

被引：0
|
作者：
Chebarykov M.S. [1 ]
机构：
[1] Rubtsovsk Industrial Institute
来源：
Siberian Advances in Mathematics | 2011年 / 21卷 / 2期
关键词：
homogeneous Riemannian manifold; left-invariant Riemannian metric; Lie algebra; Lie group; the Ricci curvature;
D O I：
10.3103/S1055134411020015
中图分类号：
学科分类号：
摘要：
The Ricci curvature of solvable metric Lie algebras is studied. In particular, we prove that the Ricci operator of any metric nonunimodular solvable Lie algebra of dimension not exceeding 6 has at least two negative eigenvalues, that generalizes the known results. © 2011 Allerton Press, Inc.
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页码：81 / 99
页数：18
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