期刊论文

中文

数学进展

1000-0917

2012

41

6

723-731

The author is supported by the Natural Science Foundation of Hunan Province（No. 09JJ6004） and Hunan Educational Bureau（No. 08B010）.

本校为第一机构

在一般的复乘积流形上构造了一类光滑的Finsler度量，证明了该度量是Berwald度量．得到了该度量的全纯曲率并在一定条件下证明了所构造的度量是强Kahler—Finsler度量．

In this paper, we construct a class of smooth complex Finsler metrics on some general product of complex manifolds and prove that these metrics are Berwald metrics. Furthermore, we get the holomorphic curvature of these metrics and prove that they are strongly Kahle...