Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (3): 670-678.doi: 10.1007/s10473-021-0302-2

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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
  • About author:Chunping ZHONG,
  • 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.

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

CLC Number: 

  • 53C60