Hypercomplex structures on Kähler manifolds |
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| Authors: | M Verbitsky |
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| Institution: | (1) Department of Mathematics, University of Glasgow, 15 University Gardens, Glasgow, G12 8QW, Scotland;(2) Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya, 25, Moscow, 117259, Russia |
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| Abstract: | Let (M, I) be a compact K?hler manifold admitting a hypercomplex structure (M, I, J, K). We show that (M, I, J, K) admits a natural HKT-metric. This is used to construct a holomorphic symplectic form on (M, I).
Received: August 2004 Revision: August 2004 Accepted: August 2004 |
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