On abelian principal bundles |
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Authors: | Indranil Biswas |
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Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay, 400005, India |
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Abstract: | Let T be a complex torus and E T a holomorphic principal T-bundle over a connected complex manifold M. We prove that the total space of E T admits a K?hler structure if and only if M admits a K?hler structure and E T admits a flat holomorphic connection whose monodromy preserves a K?hler form on T. If E T admits a K?hler structure, then is isomorphic to . Received: 2 September 2005 |
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Keywords: | 32L05 53C05 14K99. |
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