Splitting Parabolic Manifolds
classification
🧮 math.CV
keywords
complexmanifoldsappliedbiholomorphiccharacterizeconditiondimensionaleuclidean
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We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Amp\`ere 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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