| Bochner-Kodaira Techniques on K¨ahler Finsler Manifolds |
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| 作者姓名： | Jinxiu XIAO Chunhui QIU Tongde ZHONG |
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| 摘 要： |
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| 关 键 词： | K¨ahler Finsler manifold Horizontal Hodge Laplacian operator Bochner-Kodaira technique |
| 收稿时间： | 2026/11/12 0:00:00 |
| 修稿时间： | 2028/10/13 0:00:00 |
Bochner-Kodaira Techniques
on Kahler Finsler Manifolds |
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| Jinxiu XIAO,Chunhui QIU,Tongde ZHONG.Bochner-Kodaira Techniques
on Kahler Finsler Manifolds[J].Chinese Annals of Mathematics,Series B,2015,36(1):125-140. |
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| Authors: | Jinxiu XIAO Chunhui QIU and Tongde ZHONG |
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| Institution: | 1. School of Advanced Vocational Education, Shanghai University of Engineering Science, Shanghai 200437, China
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China |
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| Abstract: | A horizontal Hodge Laplacian operator $\square_{\mathcal {H}}$ is defined for Hermitian holomorphic vector bundles over PTM on K¨ahler Finsler manifold, and the expression of $\square_{\mathcal {H}}$ is obtained explicitly in terms of horizontal covariant derivatives of the Chern-Finsler connection. The vanishing theorem is obtained by using the $\partial_{\mathcal
{H}}\ov{\partial}_{\mathcal {H}}$-method on K¨ahler Finsler manifolds. |
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| Keywords: | Kahler Finsler manifold Horizontal Hodge Laplacian operator Bochner-Kodaira technique |
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