Examples of naturally reductive pseudo-Riemannian Lie groups

Details Examples of naturally reductive pseudo-Riemannian Lie groups Examples of naturally reductive pseudo-Riemannian Lie groups

2011-04-26

arxiv.org/abs/1104.4971v1

Mathematics

Differential Geometry

7 pages, presented in XIX International Fall Workshop on Geometry and Physics, Porto (2010)

Scientific paper

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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