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 ℝ1n+2 and a totally umbilical screen foliation, there is a strong interplay with the induced (Riemannian) Weyl-structure on the leaves.
@article{bwmeta1.element.doi-10_2478_s11533-013-0278-9,
author = {Cyriaque Atindogbe and Lionel B\'erard-Bergery and Carlos Ogouyandjou},
title = {Einstein-Weyl structures on lightlike hypersurfaces},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1850-1862},
zbl = {1290.53068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0278-9}
}
Cyriaque Atindogbe; Lionel Bérard-Bergery; Carlos Ogouyandjou. Einstein-Weyl structures on lightlike hypersurfaces. Open Mathematics, Tome 11 (2013) pp. 1850-1862. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0278-9/
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