Einstein-Weyl structures on lightlike hypersurfaces |
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Authors: | Cyriaque Atindogbe Lionel Bérard-Bergery Carlos Ogouyandjou |
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Institution: | 1278. Institut de Mathematiques et de Sciences Physiques, Université d’Abomey-Calavi, Benin, 01, BP 613, Porto-Novo, Benin 2278. Institut Elie Cartan, Université Henri Poincaré, Nancy I, B.P. 239 54506, Vand?uvre-lès Nancy Cedex, France
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Abstract: | We study Weyl structures on lightlike hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties of Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for ambient Lorentzian space ? 1 n+2 and a totally umbilical screen foliation, there is a strong interplay with the induced (Riemannian) Weyl-structure on the leaves. |
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