On holomorphic harmonic morphisms |
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Authors: | Martin Svensson |
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Affiliation: | Centre for Mathematical Sciences, Mathematics, Faculty of Science, Lund University, Box 118, 221 00 Lund, Sweden.? e-mail: Martin.Svensson@math.lu.se; msv@maths.lth.se, SE
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Abstract: | We study holomorphic harmonic morphisms from K?hler manifolds to almost Hermitian manifolds. When the codomain is also K?hler we get restrictions on such maps in the case of constant holomorphic curvature. We also prove a Bochner-type formula for holomorphic harmonic morphisms which, under certain curvature conditions of the domain, gives insight to the structure of the vertical distribution. We thus prove that when the domain is compact and non-negatively curved, the vertical distribution is totally geodesic. Received: 28 May 2001 |
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Keywords: | Mathematics Subject Classification (2000): 58E20 |
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