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ON THE CLASS OF COMPLEX DOUGLAS-KROPINA SPACES

  • Aldea, Nicoleta (Department of Mathematics and Computer Sciences Transilvania University of Brasov) ;
  • Munteanu, Gheorghe (Department of Mathematics and Computer Sciences Transilvania University of Brasov)
  • Received : 2016.12.17
  • Accepted : 2017.06.14
  • Published : 2018.01.31

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.

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