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- W4225643550 abstract "It is known that a connected and simply-connected Lie group admits only one left-invariant Riemannian metric up to scaling and isometry if and only if it is isomorphic to the Euclidean space, the Lie group of the real hyperbolic space, or the direct product of the three dimensional Heisenberg group and the Euclidean space of dimension $n-3$. In this paper, we give a classification of left-invariant pseudo-Riemannian metrics of an arbitrary signature for the third Lie groups with $n geq 4$ up to scaling and automorphisms. This completes the classifications of left-invariant pseudo-Riemannian metrics for the above three Lie groups up to scaling and automorphisms." @default.
- W4225643550 created "2022-05-05" @default.
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- W4225643550 date "2021-12-17" @default.
- W4225643550 modified "2023-10-04" @default.
- W4225643550 title "A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups" @default.
- W4225643550 doi "https://doi.org/10.48550/arxiv.2112.09430" @default.
- W4225643550 hasPublicationYear "2021" @default.
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