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

• 论文 • 上一篇    下一篇

A REMARK ON GENERAL COMPLEX (α,β) METRICS

夏红川1, 钟春平2   

  1. 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. 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: 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