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.
Hongchuan XIA
,
Chunping ZHONG
. A REMARK ON GENERAL COMPLEX (α,β) METRICS[J]. Acta mathematica scientia, Series B, 2021
, 41(3)
: 670
-678
.
DOI: 10.1007/s10473-021-0302-2
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