Einstein-Weyl structures on lightlike hypersurfaces
Cyriaque Atindogbe; Lionel Bérard-Bergery; Carlos Ogouyandjou
Open Mathematics (2013)
- Volume: 11, Issue: 10, page 1850-1862
- ISSN: 2391-5455
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topCyriaque Atindogbe, Lionel Bérard-Bergery, and Carlos Ogouyandjou. "Einstein-Weyl structures on lightlike hypersurfaces." Open Mathematics 11.10 (2013): 1850-1862. <http://eudml.org/doc/269613>.
@article{CyriaqueAtindogbe2013,
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.},
author = {Cyriaque Atindogbe, Lionel Bérard-Bergery, Carlos Ogouyandjou},
journal = {Open Mathematics},
keywords = {Lightlike hypersurface; Screen distribution; Einstein-Weyl structure; light-like hypersurface; screen distribution},
language = {eng},
number = {10},
pages = {1850-1862},
title = {Einstein-Weyl structures on lightlike hypersurfaces},
url = {http://eudml.org/doc/269613},
volume = {11},
year = {2013},
}
TY - JOUR
AU - Cyriaque Atindogbe
AU - Lionel Bérard-Bergery
AU - Carlos Ogouyandjou
TI - Einstein-Weyl structures on lightlike hypersurfaces
JO - Open Mathematics
PY - 2013
VL - 11
IS - 10
SP - 1850
EP - 1862
AB - 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.
LA - eng
KW - Lightlike hypersurface; Screen distribution; Einstein-Weyl structure; light-like hypersurface; screen distribution
UR - http://eudml.org/doc/269613
ER -
References
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- [7] Kupeli D.N., Singular Semi-Riemannian Geometry, Math. Appl., 366, Kluwer, Dordrecht, 1996 http://dx.doi.org/10.1007/978-94-015-8761-7[Crossref]
- [8] LeBrun C., Mason L.J., The Einstein-Weyl equations, scattering maps, and holomorphic disks, Math. Res. Lett., 2009, 16(2), 291–301 [Crossref] Zbl1176.53071
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