| 乘积复流形上的Szabó度量 |
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| 引用本文： | 陈永发,严荣沐. 乘积复流形上的Szabó度量[J]. 数学学报, 2007, 0(4) |
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| 作者姓名： | 陈永发 严荣沐 |
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| 作者单位： | 中国科学院数学与系统科学研究院 北京100080(陈永发)，厦门大学数学科学学院 厦门361005(严荣沐) |
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| 基金项目： | 国家自然科学基金(10501036)，福建省自然科学基金(Z0511003) |
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| 摘 要： | 设(M_1,α),(M_2,β)均为Hermitian流形,本文证明了积流形M_1×M_2上的复Szabó度量F_ε是Berwald度量,且当α,β为K(?)hler度量时,F_ε是强Kahler-Finsler度量,此外本文还给出了F_ε的全纯曲率的显式表达式．
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| 关 键 词： | 复Finsler度量 强K(?)hler-Finsler 全纯曲率 |
The SzabóMetric on the Product of Complex Manifolds |
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| Yong Fa CHEN Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing ,P.R.China Rong Mu YAN School of Mathematical Science,Xiamen University,Xiamen ,P.R.China. The SzabóMetric on the Product of Complex Manifolds[J]. Acta Mathematica Sinica, 2007, 0(4) |
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| Authors: | Yong Fa CHEN Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing P.R.China Rong Mu YAN School of Mathematical Science Xiamen University Xiamen P.R.China |
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| Affiliation: | Yong Fa CHEN Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China Rong Mu YAN School of Mathematical Science,Xiamen University,Xiamen 361005,P.R.China |
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| Abstract: | Let (M_1,α),(M_2,β) be Hermitian manifolds.We prove F_εis a complex Berwald metric,where F_εis Szabómetric on the manifold M_1×M_2.Moreover F_εis strongly K(?)hler-Finsler whenα,βare K(?)hler metrics and also we obtain the explicit formula of its holomorphic curvature. |
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| Keywords: | complex Finsler metric strongly K(?)hler-Finsler holomorphic curvature |
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