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.
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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.
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Xia, H., Zhong, C. A Remark on General Complex (α, β) Metrics. Acta Math Sci 41, 670–678 (2021). https://doi.org/10.1007/s10473-021-0302-2
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DOI: https://doi.org/10.1007/s10473-021-0302-2