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K¨ahler Finsler Metrics Are Actually Strongly K¨ahler
作者姓名:Bin CHEN  Yibing SHEN
基金项目:Project supported by the National Natural Science Foundation of China (No. 10571154).
摘    要:In this paper, the Kahler conditions of the Chern-Finsler connection in complex Finsler geometry are studied, and it is proved that Kahler Finsler metrics are actually strongly Kahler.

关 键 词:Finsler度量  陈省身  几何

Kähler Finsler metrics are actually strongly Kähler
Bin CHEN,Yibing SHEN.Kähler Finsler metrics are actually strongly Kähler[J].Chinese Annals of Mathematics,Series B,2009,30(2):173-178.
Authors:Bin CHEN and Yibing SHEN
Institution:(1) Center of Mathematical Science, Zhejiang University, Hangzhou, 310027, China;(2) Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
Abstract:In this paper, the Kähler conditions of the Chern-Finsler connection in complex Finsler geometry are studied, and it is proved that Kähler Finsler metrics are actually strongly Kähler.
Keywords:Complex Finsler metric  Chern-Finsler connection  Kahler Finsler metric
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