Harmonic maps between compact Hermitian manifolds |
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| Authors: | KeFeng Liu XiaoKui Yang |
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| Affiliation: | (1) Center of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China;(2) Department of Mathematical Sciences, California University at Los Angeles, Los Angeles, CA 90095-1555, USA |
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| Abstract: | In this paper, we generalize the Bochner-Kodaira formulas to the case of Hermitian complex (possibly non-holomorphic) vector bundles over compact Hermitian (possibly non-Kähler) manifolds. As applications, we get the complex analyticity of harmonic maps between compact Hermitian manifolds. |
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| Keywords: | Bochner-Kodaira formulas harmonic maps strongly negative curvature |
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