First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
@article{107821,
author = {Bang-Yen Chen},
title = {Ricci curvature of real hypersurfaces in complex hyperbolic space},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {73-80},
zbl = {1087.53052},
mrnumber = {1899570},
language = {en},
url = {http://dml.mathdoc.fr/item/107821}
}
Chen, Bang-Yen. Ricci curvature of real hypersurfaces in complex hyperbolic space. Archivum Mathematicum, Tome 038 (2002) pp. 73-80. http://gdmltest.u-ga.fr/item/107821/
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