Kähler Finsler metrics are actually strongly Kähler

Bin Chen , Yibing Shen

Chinese Annals of Mathematics, Series B ›› 2009, Vol. 30 ›› Issue (2) : 173 -178.

PDF
Chinese Annals of Mathematics, Series B ›› 2009, Vol. 30 ›› Issue (2) : 173 -178. DOI: 10.1007/s11401-008-0092-z
Article

Kähler Finsler metrics are actually strongly Kähler

Author information +
History +
PDF

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 / Kähler Finsler metric

Cite this article

Download citation ▾
Bin Chen, Yibing Shen. Kähler Finsler metrics are actually strongly Kähler. Chinese Annals of Mathematics, Series B, 2009, 30(2): 173-178 DOI:10.1007/s11401-008-0092-z

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Abate M., Patrizio G.. Finsler Metrics—A Global Approach, with Applications to Geometric Function Theory, Lecture Notes in Math., 1994, Berlin: Springer

[2]

Abate M., Patrizio G.. Kähler Finsler manifolds of constant holomorphic curvature. Int. J. Math., 1997, 2: 169-186

[3]

Bland J., Kalka M.. Variations of holomorphic curvature for Kähler Finsler metrics. Cont. Math., 1996, 196: 121-132

[4]

Wong P. M.. A survey of complex Finsler geometry. Adv. Stud. in Pure Math., 2007, 48: 375-433

[5]

Xiao, J., Zhong, T. and Qiu, C., Bochner technique in strongly Kähler Finsler metrics, preprint, 2008.

[6]

Zhong C., Zhong T.. Hodge decomposition theorem on strongly Kähler Finsler manifolds. Sci. in Chin., Ser. A, 2006, 48: 1696-1714

AI Summary AI Mindmap
PDF

106

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/