## The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)(French)Zbl 0895.53024

The group of real matrices of order $$2p$$ satisfying a certain relation and endowed with the canonical metric is considered and the semi-Riemannian manifold induced by $$G$$ is studied.
Reviewer: C.-L.Bejan (Iaşi)

### MSC:

 53B21 Methods of local Riemannian geometry 20G20 Linear algebraic groups over the reals, the complexes, the quaternions

### Keywords:

unitary group; isomorphism; semi-Riemannian manifolds
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