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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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참고문헌 (21)
참고문헌 신청
M. Abate / 1994 / Finsler Metrics - A Global Approach / Lecture Notes in Math. 1591
T. Aikou / 2003 / Projective atness of complex Finsler metrics / Publ. Math. Debrecen 63(3):343~362
N. Aldea / 2007 / Complex Finsler spaces with Kropina metric / Bull. Transilv. Univ. Brasov Ser. B (N.S.) 14(49):1~10
N. Aldea / 2012 / On projective invariants of the complex Finsler spaces / Differential Geom. Appl. 30(6):562~575
N. Aldea / 2012 / Projectively related complex Finsler metrics / Nonlinear Analy. RealWorld Appl. 13(5):2178~2187
T. Aikou / 2003 / Projective atness of complex Finsler metrics / Publ. Math. Debrecen 63(3):343~362
N. Aldea / 2007 / Complex Finsler spaces with Kropina metric / Bull. Transilv. Univ. Brasov Ser. B (N.S.) 14(49):1~10
N. Aldea / 2012 / On projective invariants of the complex Finsler spaces / Differential Geom. Appl. 30(6):562~575
N. Aldea / 2012 / Projectively related complex Finsler metrics / Nonlinear Analy. RealWorld Appl. 13(5):2178~2187
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