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)Abstract
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 |
|---|---|
| Publication: | Asian Journal of Mathematics |
| Publisher: | International Press |
| 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 |
| URI: | http://eprints.iisc.ac.in/id/eprint/15442 |
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