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arXiv · 1003.0189

On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group

Wafaa Batat·Salima Rahmani
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Abstract

In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This is on the contrary to the Riemannian case, as it was proved by T. Hangan.

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Wafaa Batat, Salima Rahmani. 2010-02-28. On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group. https://doi.org/10.3842/sigma.2010.021

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