Kahler Finsler Metrics Are Actually Strongly Kahler

被引:53
作者
Chen, Bin [1 ]
Shen, Yibing [2 ]
机构
[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
Complex Finsler metric; Chern-Finsler connection; Kahler Finsler metric;
D O I
10.1007/s11401-008-0092-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
引用
收藏
页码:173 / 178
页数:6
相关论文
共 6 条
[1]   Kahler Finsler manifolds of constant holomorphic curvature [J].
Abate, M ;
Patrizio, G .
INTERNATIONAL JOURNAL OF MATHEMATICS, 1997, 8 (02) :169-186
[2]  
Abate M., 1994, Lecture Notes in Mathematics, V1591
[3]  
[Anonymous], 2007, Adv. Stud. Pure Math.
[4]  
Bland J., 1996, CONT MATH, V196, P121
[5]  
XIAO J, 2008, BOCHNER TECHNIQUE ST
[6]   Hodge decomposition theorem on strongly Kahler Finsler manifolds [J].
Zhong Chunping ;
Zhong Tongde .
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (11) :1696-1714