Negative eigenvalues of the Ricci operator of solvable metric Lie algebras

Abstract

In this paper we get a necessary and sufficient condition for the Ricci operator of a solvable metric Lie algebra to have at least two negative eigenvalues. In particular, this condition implies that the Ricci operator of every non-unimodular solvable metric Lie algebra or every non-abelian nilpotent metric Lie algebra has this property.

arXiv comment16 pages, minor corrections

Cited by in corpus (1)

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