1 citations · 1 across the 4 of their papers we have counts for
5 papers
Totally reducible holonomies of torsion-free affine connections
Lionel Bérard Bergery
That announcement gives the structure of totally reducible linear Lie algebras which are the Lie algebra of the holonomy group of (at least) one torsion-free connection. The result…
Canonical Torsion-Free Connections on the Total Space of the Tangent and the Cotangent Bundle
Lionel Bérard Bergery, Thomas Krantz
In this paper we define a class of torsion-free connections on the total space of the (co-)tangent bundle over a base-manifold with a connection and for which tangent spaces to the…
A note on conformal connections on lightlike hypersurfaces
Cyriaque Atindogbe, Lionel Bérard Bergery
Degenerate submanifolds of pseudo-Riemannian manifolds are quite difficult to study because there is no prefered connection when the submanifold is not totally geodesic. For the pa…
-tensors on lightlike hypersurfaces
Cyriaque Atindogbe, Lionel Bérard Bergery
This paper introduces $\anabla$-tensors on lightlike hypersurfaces of signature , and investigates on their properties in connection with the null geom…
Representations admitting two pairs of supplementary invariant spaces
Lionel Bérard Bergery, Thomas Krantz
We examine the lattice generated by two pairs of supplementary vector subspaces of a finite-dimensional vector space by intersection and sum, with the aim of applying the results t…