A REMARK ON GENERAL COMPLEX (α,β) METRICS

doi:10.1007/s10473-021-0302-2

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (3): 670-678.doi: 10.1007/s10473-021-0302-2

A REMARK ON GENERAL COMPLEX (α,β) METRICS

夏红川¹, 钟春平²

1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China;
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

收稿日期:2019-03-08 出版日期:2021-06-25 发布日期:2021-06-07
通讯作者: Hongchuan XIA E-mail:xhc@xynu.edu.cn
作者简介:Chunping ZHONG,E-mail:zcp@xmu.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (11701494, 12071386, 11671330, 11971415), and the Nanhu Scholars Program for Young Scholars of Xinyang Normal University.

A REMARK ON GENERAL COMPLEX (α,β) METRICS

Hongchuan XIA¹, Chunping ZHONG²

1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China;
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received:2019-03-08 Online:2021-06-25 Published:2021-06-07
Contact: Hongchuan XIA E-mail:xhc@xynu.edu.cn
About author:Chunping ZHONG,E-mail:zcp@xmu.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (11701494, 12071386, 11671330, 11971415), and the Nanhu Scholars Program for Young Scholars of Xinyang Normal University.

摘要/Abstract

摘要： In this paper, we give a characterization for the general complex (α,β) metrics to be strongly convex. As an application, we show that the well-known complex Randers metrics are strongly convex complex Finsler metrics, whereas the complex Kropina metrics are only strongly pseudoconvex.

关键词: Strongly convex, strongly pseudoconvex, general complex (α,β) metrics

Abstract: In this paper, we give a characterization for the general complex (α,β) metrics to be strongly convex. As an application, we show that the well-known complex Randers metrics are strongly convex complex Finsler metrics, whereas the complex Kropina metrics are only strongly pseudoconvex.

Key words: Strongly convex, strongly pseudoconvex, general complex (α,β) metrics

中图分类号:

53C60

夏红川, 钟春平. A REMARK ON GENERAL COMPLEX (α,β) METRICS[J]. 数学物理学报(英文版), 2021, 41(3): 670-678.

Hongchuan XIA, Chunping ZHONG. A REMARK ON GENERAL COMPLEX (α,β) METRICS[J]. Acta mathematica scientia,Series B, 2021, 41(3): 670-678.

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A REMARK ON GENERAL COMPLEX (α,β) METRICS

A REMARK ON GENERAL COMPLEX (α,β) METRICS

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