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- W2952310467 abstract "We construct many examples of Lie groups with compact Levi factor admitting a left-invariant metric with negative Ricci curvature. We start with a Lie algebra with Levi factor su(n) or so(n) acting on an abelian nilradical via the representation on the space of homogeneous polynomials. In the case of su(2) we obtain a more general construction where the nilradical can be any nilpotent Lie algebra. We also prove a general result in the case when the Levi factor is a semisimple Lie algebra of non-compact type." @default.
- W2952310467 created "2019-06-27" @default.
- W2952310467 creator A5029464712 @default.
- W2952310467 date "2017-10-20" @default.
- W2952310467 modified "2023-10-01" @default.
- W2952310467 title "Negative Ricci curvature on some non-solvable Lie groups II" @default.
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