On solvable Lie groups of negative Ricci curvature

@article{Nikolayevsky2015OnSL,
  title={On solvable Lie groups of negative Ricci curvature},
  author={Y. Nikolayevsky and Yu.G. Nikonorov},
  journal={Mathematische Zeitschrift},
  year={2015},
  volume={280},
  pages={1-16}
}
  • Y. Nikolayevsky, Yu.G. Nikonorov
  • Published 2015
  • Mathematics
  • Mathematische Zeitschrift
  • We study solvable Lie groups which admit a left-invariant metric of strictly negative Ricci curvature. We obtain necessary and sufficient conditions of the existence of such a metric for Lie groups the nilradical of whose Lie algebra is either abelian or Heisenberg or standard filiform and discuss some open questions. 
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