Displaying similar documents to “A certain complete space-like hypersurface in Lorentz manifolds.”

Real hypersurfaces with constant totally real bisectional curvature in complex space forms

Miguel Ortega, Juan de Dios Pérez, Young Jin Suh (2006)

Czechoslovak Mathematical Journal

Similarity:

In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form M m ( c ) , c 0 as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].

Ricci curvature of real hypersurfaces in complex hyperbolic space

Bang-Yen Chen (2002)

Archivum Mathematicum

Similarity:

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.