Complex geometry investigates the properties and structures inherent in complex manifolds, while hyperbolicity imposes stringent restrictions on the behaviour of holomorphic maps. Together, these ...

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 ...

IMAGINARY elements in geometry were for a long time considered solely as an auxiliary to the study of real points. Projective complex geometry, considered as an independent branch of mathematics, owes ...