The Ricci operator of completely solvable metric lie algebras

被引：0
|
作者：
Chebarykov M.S. [1 ]
Nikonorov Y.G. [2 ]
机构：
[1] Rubtsovsk Industrial Institute, Rubtsovsk
[2] Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS, Vladikavkaz
来源：
Siberian Advances in Mathematics | 2014年 / 24卷 / 1期
关键词：
completely solvable Lie algebras; left-invariant Riemannian metrics; Lie group and algebras; nonhomogeneous Riemannian manifolds; Ricci curvature;
D O I：
10.3103/S1055134414010039
中图分类号：
学科分类号：
摘要：
We study the Ricci curvature of completely solvablemetric Lie algebras. In particular,we prove that the Ricci operator of every completely solvable nonunimodular or every noncommutative nilpotent metric Lie algebra has at least two negative eigenvalues. © 2014 Allerton Press, Inc.
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页码：18 / 25
页数：7
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