Splitting Parabolic Manifolds

Morris Kalka; Giorgio Patrizio

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arXiv · 1409.3972

Splitting Parabolic Manifolds

Morris Kalka·Giorgio Patrizio

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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.

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Morris Kalka, Giorgio Patrizio. 2014-09-13. Splitting Parabolic Manifolds. https://arxiv.org/abs/1409.3972

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