✦ LIBER ✦

Einstein-Weyl structures on lightlike hypersurfaces

✍ Scribed by Atindogbe, Cyriaque ;Bérard-Bergery, Lionel ;Ogouyandjou, Carlos

Book ID: 120618505
Publisher: Walter de Gruyter GmbH
Year: 2013
Tongue: English
Weight: 886 KB
Volume: 11
Category: Article
ISSN: 2391-5455
DOI: 10.2478/s11533-013-0278-9

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✦ Synopsis

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 ℝ1n+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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