Displaying similar documents to “Real hypersurfaces with constant totally real sectional curvature in a complex space form”

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

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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

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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.