Abstract
We show that if M = X × Y is the product of two complex manifolds (of positive dimensions), then M does not admit any complete Kähler metric with bisectional curvature bounded between two negative constants. More generally, a locally-trivial holomorphic fibre-bundle does not admit such a metric.
Citation
Harish Seshadri. Fangyang Zheng. "Complex Product Manifolds Cannot be Negatively Curved." Asian J. Math. 12 (1) 145 - 150, March 2008.
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