We introduce the pseudo-Einstein structure on real
hypersurfaces in a K\"ahlerian manifold, namely, the Ricci
curvature tensor for the generalized Tanaka-Webster connection
(restricted) on the Levi subbundle $D$ is proportional to the Levi form. In particular, we give a classification of pseudo-Einstein Hopf-hypersurfaces in a non-flat complex space form.
Publié le : 2008-02-15
Classification:
real hypersurfaces,
complex space forms,
the g.-Tanaka-Webster connection,
pseudo-Einstein structures,
g.-Tanaka-Webster flat structures,
53C15,
53B20,
53C25
@article{1253539581,
author = {CHO, Jong Taek},
title = {Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form},
journal = {Hokkaido Math. J.},
volume = {37},
number = {4},
year = {2008},
pages = { 1-17},
language = {en},
url = {http://dml.mathdoc.fr/item/1253539581}
}
CHO, Jong Taek. Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form. Hokkaido Math. J., Tome 37 (2008) no. 4, pp. 1-17. http://gdmltest.u-ga.fr/item/1253539581/