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Bull. Korean Math. Soc. 2018; 55(1): 251-266
Online first article September 8, 2017 Printed January 31, 2018
https://doi.org/10.4134/BKMS.b161000
Copyright © The Korean Mathematical Society.
On the class of complex Douglas-Kropina spaces
Nicoleta Aldea, Gheorghe Munteanu
Transilvania University of Bra\c sov, Transilvania University of Bra\c sov
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
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