Splitting Parabolic Manifolds
arXiv:1409.3972
Abstract
We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Ampère type of condition. The results are applied to characterize complex manifolds biholomorphic to $\C^{N}$ viewed as a product of lower dimensional complex euclidean spaces.
To appear in Rivista di Matematica dell'Universita' di Parma