| 构造具有特殊性质的复Randers度量 |
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| 引用本文： | 汤冬梅.构造具有特殊性质的复Randers度量[J].厦门大学学报(自然科学版),2012,51(2):157-163. |
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| 作者姓名： | 汤冬梅 |
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| 作者单位： | 厦门理工学院数理系,福建厦门,361024 |
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| 基金项目： | 国家自然科学基金项目(10601040,10971170);厦门理工学院科研启动基金项目(700298) |
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| 摘 要： | 首先证明了当‖β‖α＜1时,复Randers度量的Cartan挠率具有上界.然后推导出所构造的含有3个参数的复Randers度量要么是非弱K(a)hler Finsler度量,要么满足(β)b0|0+βb-0|0≠0,并且该度量具有一致上界.最后给出一些例子说明如果ρ2+λε=0,那么它们的全纯曲率都是非正的.
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| 关 键 词： | 复Randers度量 Cartan挠率 弱K(a)hler Finsler度量 全纯曲率 |
The Explicit Construction of Complex Randers Metrics with Special Properties |
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| TANG Dong-mei.The Explicit Construction of Complex Randers Metrics with Special Properties[J].Journal of Xiamen University(Natural Science),2012,51(2):157-163. |
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| Authors: | TANG Dong-mei |
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| Institution: | TANG Dong-mei(Department of Mathematics and Physics,Xiamen University of Technology,Xiamen 361024,China) |
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| Abstract: | First,this paper shows that when || β|| α<1 the Cartan torsion of the complex Randers metric has a upper bound.Next,we derive that this constructed 3-parameter family of the complex Randers metrics is either a non-weakly Khler Finsler metric or β b0|0+β b0|0≠0.Meanwhile,it has the uniform upper bounded for Cartan torsion.At last some examples are given to indicate that their holomorphic curvatures are non-positive if ρ2+λε=0. |
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| Keywords: | complex Randers metrics Cartan torsion weakly Khler Finsler metrics holomorphic curvature |
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