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New properties on normalized null hypersurfaces
Cyriaque Atindogbe, Manuel Gutiérrez, Raymond Hounnonkpe
Rigging technique introduced in \cite{bi0} is a convenient way to address the study of null hypersurfaces. It offers in addition the extra benefit of inducing a Riemannian structur…
Lightlike Osserman submanifolds of semi-Riemannian manifolds
Cyriaque Atindogbe, Oscar Lungiambudila, Joël Tossa
In this paper, we study Jacobi operators associated to algebraic curvature maps (tensors) on lightlike submanifolds M. We investigate conditions for an induced Rie- mann curvature…
Einstein-Weyl structures on lightike hypersurfaces
Cyriaque Atindogbe, Lionel Bérard Bergery
We study Weyl structures on lightlikes hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate…
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…