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arXiv · 1209.4171

Negative eigenvalues of the Ricci operator of solvable metric Lie algebras

Yu. G. Nikonorov
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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.

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BibTeXRIS

Yu. G. Nikonorov. 2012-09-19. Negative eigenvalues of the Ricci operator of solvable metric Lie algebras. https://doi.org/10.1007/s10711-013-9871-0

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