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

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

2010-02-28

arxiv.org/abs/1003.0189v1

SIGMA 6 (2010), 021, 4 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2010.021

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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