Seshadri, Harish and Zheng, Fangyang (2008) Complex Product Manifolds Cannot be Negatively Curved. In: Asian Journal of Mathematics, 12 (1). pp. 145-149.Full text not available from this repository. (Request a copy)
We show that if $M = X \times Y$ is the product of two complex manifolds (of positive dimensions), then M does not admit any complete Kahler metric with bisectional curvature bounded between two negative constants. More generally, a locally-trivial holomorphic fibre-bundle does not admit such a metric.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to International Press.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||04 Aug 2008|
|Last Modified:||08 Jan 2013 06:08|
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