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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
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