K¨ahler Finsler Metrics Are Actually Strongly K¨ahler

Citation:

Bin CHEN,Yibing SHEN.K¨ahler Finsler Metrics Are Actually Strongly K¨ahler[J].Chinese Annals of Mathematics B,2009,30(2):173~178
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Authors:

Bin CHEN; Yibing SHEN;

Foundation:

the National Natural Science Foundation of China (No. 10571154).
Abstract: In this paper, the K¨ahler conditions of the Chern-Finsler connection in complex Finsler geometry are studied, and it is proved that K¨ahler Finsler metrics are actually strongly K¨ahler.

Keywords:

Complex Finsler metric, Chern-Finsler connection, K¨ahler Finsler metric

Classification:

53B40, 32Q99
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