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arXiv · 1104.4971

Examples of naturally reductive pseudo-Riemannian Lie groups

Gabriela P. Ovando
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Abstract

We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group $(N, < \,,\,>_N)$, such that $< \,,\,>_N$ is invariant under a left action and for which the center is degenerate. The metric does not correspond to a bi-invariant one.

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Gabriela P. Ovando. 2011-04-26. Examples of naturally reductive pseudo-Riemannian Lie groups. https://doi.org/10.1063/1.3599142

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