Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms

Real Hypersurfaces with Constant Principal Curvatures in Complex Hyperbolic Spaces

We present the classification of all real hypersurfaces in complex hyperbolic space CHn, n ≥ 3, with three distinct constant principal curvatures.

Real Hypersurfaces with Constant Totally Real Bisectional Curvature in Complex Space Forms

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

Hypersurfaces of Constant Curvature in Space Forms

In this paper we shall discuss hypersurfaces M of space forms of constant curvature; where curvature means one of the symmetric functions of curvature associated to the second fundamental form. The values of the constant will be chosen so that the linearized equation will be an elliptic equation onM . For example, for surfaces in 3 the two possible curvatures are the mean curvature H and the Ga...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Pseudo Ricci symmetric real hypersurfaces of a complex projective space

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.