Let M be a real hypersurface in Pn(C), J be the complex structure and ξ denote a unit normal vector field on M. We show that M is (an open subset of) a homogeneous hypersurface if and only if M has ...

This paper gives a classification of real hypersurfaces in a complex projective space under assumptions that the structure vector ξ is principal, the focal map has constant rank, and ∇ξ S = 0, where S ...