Geodesic
Ricci curvature of real hypersurfaces in complex hyperbolic space
Archivum mathematicum, Tome 38 (2002) no. 1, pp. 73-80

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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.
Classification : 53B25, 53C40, 53C42
Keywords: Ricci curvature; shape operator; real hypersurface; algebraic lemma; tubular hypersurface; horosphere; complex hyperbolic space 
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     author = {Chen, Bang-Yen},
     title = {Ricci curvature of real hypersurfaces in complex hyperbolic space},
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     zbl = {1087.53052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a7/}
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Chen, Bang-Yen. Ricci curvature of real hypersurfaces in complex hyperbolic space. Archivum mathematicum, Tome 38 (2002) no. 1, pp. 73-80. http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a7/