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浙江大学学报(理学版)  2017, Vol. 44 Issue (2): 154-160    DOI: 10.3785/j.issn.1008-9497.2017.02.006
数学与计算机科学     
复Finsler度量射影等价
翁桂英
仰恩大学 数学系, 福建 泉州 362014
Projectively equivalent complex Finsler metrics
WENG Guiying
Department of Mathematics, Yangen University, Quanzhou 362014, Fujian Province, China
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摘要: 主要研究复流形上复Finsler度量射影等价及仿射等价的若干充要条件,讨论了复Finsler流形上的测地线及2种平行移动,从而得到复Finsler度量仿射等价的另一充要条件,并将其应用于乘积复Finsler流形中.
关键词: 复Finsler度量测地线射影等价仿射等价乘积复Finsler度量    
Abstract: We study the necessary and sufficient conditions in which two complex Finsler metrics F and on a manifold are projectively equivalent. We discuss the geodesics and two kinds of parallel translations on a complex Finsler manifold. Then, another necessary and sufficient condition in which two complex Finsler metrics are affinely equivalent is obtained, and is applied to product complex Finsler manifold.
Key words: complex Finsler metrics    geodesics    projectively equivalent    affinely equivalent    product complex Finsler manifold
收稿日期: 2016-01-28 出版日期: 2017-07-08
CLC:  O186.1  
作者简介: 翁桂英(1983-),ORCID:http://orcid.org/0000-0002-3469-1466,女,硕士,讲师,主要从事多复变数和复Finsler几何研究,E-mail:yeuwgy@163.com.
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引用本文:

翁桂英. 复Finsler度量射影等价[J]. 浙江大学学报(理学版), 2017, 44(2): 154-160.

WENG Guiying. Projectively equivalent complex Finsler metrics. Journal of ZheJIang University(Science Edition), 2017, 44(2): 154-160.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.02.006        https://www.zjujournals.com/sci/CN/Y2017/V44/I2/154

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