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 On the class of complex Douglas-Kropina spaces Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 251-266 https://doi.org/10.4134/BKMS.b161000Published online January 31, 2018 Nicoleta Aldea, Gheorghe Munteanu Transilvania University of Bra\c sov, Transilvania University of Bra\c sov Abstract : In this paper, considering the class of complex Kropina metrics we obtain the necessary and sufficient conditions that these are generalized Berwald and complex Douglas metrics, respectively. Special attention is devoted to a class of complex Douglas-Kropina spaces, in complex dimension $2$. Also, some examples of complex Douglas-Kropina metrics are pointed out. Finally, the complex Douglas-Kropina metrics are characterized through the theory of projectively related complex Finsler metrics. Keywords : complex Douglas space, complex Berwald space, projectively related, complex Kropina metric MSC numbers : 53B40, 53C60 Downloads: Full-text PDF