We introduce conformally flat Fefferman-Lorentz manifold of parabolic type as a special class of Lorentz parabolic manifolds. It is a smooth (2n+2)-manifold locally modeled on (Û(n+1, 1), S 2n+1,1). As the terminology suggests, when a Fefferman-Lorentz manifold M is conformally flat, M is a Fefferman-Lorentz manifold of parabolic type. We shall discuss which compact manifolds occur as a conformally flat Fefferman-Lorentz manifold of parabolic type.
@article{bwmeta1.element.doi-10_2478_s11533-013-0379-5,
author = {Yoshinobu Kamishima},
title = {On conformally flat Lorentz parabolic manifolds},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {861-878},
zbl = {1308.53105},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0379-5}
}
Yoshinobu Kamishima. On conformally flat Lorentz parabolic manifolds. Open Mathematics, Tome 12 (2014) pp. 861-878. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0379-5/
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