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A Remark on General Complex ( α, β ) Metrics
Acta Mathematica Scientia ( IF 1.2 ) Pub Date : 2021-04-19 , DOI: 10.1007/s10473-021-0302-2 Hongchuan Xia , Chunping Zhong
中文翻译:
关于一般复数(α,β)度量的一个注记
更新日期:2021-04-19
Acta Mathematica Scientia ( IF 1.2 ) Pub Date : 2021-04-19 , DOI: 10.1007/s10473-021-0302-2 Hongchuan Xia , Chunping Zhong
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.
中文翻译:
关于一般复数(α,β)度量的一个注记
在本文中,我们给出了一般复数(α,β)度量为强凸的特征。作为一个应用程序,我们证明了众所周知的复杂Randers度量是强凸复Finsler度量,而复杂Kropina度量只是强伪凸。