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20062021
most citedThe algebra of parallel endomorphisms of a germ of pseudo-Riemannian metric

15 citations · 19 across the 7 of their papers we have counts for

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Showing 2014Show all

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math.DG2014

Affine transformations and parallel lightlike vector fields on compact Lorentzian -manifolds

Charles Boubel, Pierre Mounoud

We describe the compact Lorentzian -manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian -manifolds admitting non-isometric affine…

math.DG2014★ 1 cited

The algebra of the parallel endomorphisms of a pseudo-Riemannian metric: semi-simple part

Charles Boubel

On a (pseudo-)Riemannian manifold (MM,g), some fields of endomorphisms i.e. sections of End(TMM) may be parallel for g. They form an associative algebra A, which is also the commut…