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Examples of naturally reductive pseudo-Riemannian Lie groups (1104.4971v1)
Published 26 Apr 2011 in math.DG
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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