Characterizations of complex Finsler connections and weakly complex Berwald metrics

CORC > 厦门大学 > 数学科学－已发表论文

	Characterizations of complex Finsler connections and weakly complex Berwald metrics
	Sun, Liling ; Zhong, Chunping ; Zhong CP(钟春平)
刊名	http://dx.doi.org/10.1016/j.difgeo.2013.07.003
	2013
关键词	MANIFOLDS CURVATURE
英文摘要	National Natural Science Foundation of China [11271304, 10971170, 11171277]; Natural Science Foundation of Fujian Province of China for Distinguished Young Scholars [2013J06001]; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry; Fundamental Research Funds for the Central Universities [2012121006]; Let M be a complex manifold endowed with a strongly pseudoconvex complex Finsler metric F. In this paper, characterizations of the complex Rund connection, complex Berwald connection and complex Hashiguchi connection that associated to F are given. The precise relationship of holomorphic sectional curvature, holomorphic bisectional curvature and Ricci scalar curvature of F with respect to these connections are obtained. Moreover, it is proved that the conformal change (F) over tilde = e(sigma(z)) F of F is a weakly complex Berwald metric on M if and only if F is a weakly complex Berwald metric on M. (c) 2013 Elsevier B.V. All rights reserved.
语种	英语
出版者	ELSEVIER SCIENCE BV
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91242]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Sun, Liling,Zhong, Chunping,Zhong CP. Characterizations of complex Finsler connections and weakly complex Berwald metrics[J]. http://dx.doi.org/10.1016/j.difgeo.2013.07.003,2013.
APA	Sun, Liling,Zhong, Chunping,&钟春平.(2013).Characterizations of complex Finsler connections and weakly complex Berwald metrics.http://dx.doi.org/10.1016/j.difgeo.2013.07.003.
MLA	Sun, Liling,et al."Characterizations of complex Finsler connections and weakly complex Berwald metrics".http://dx.doi.org/10.1016/j.difgeo.2013.07.003 (2013).