Projectively related complex Finsler metrics |
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| Authors: | Nicoleta Aldea Gheorghe Munteanu |
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| Affiliation: | Transilvania University, Faculty of Mathematics and Informatics, Iuliu Maniu 50, Bra?ov 500091, Romania |
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| Abstract: | In this paper we introduce in study the projectively related complex Finsler metrics. We prove the complex versions of the Rapcsák’s theorem and characterize the weakly Kähler and generalized Berwald projectively related complex Finsler metrics. The complex version of Hilbert’s Fourth Problem is also pointed out. As an application, the projectiveness of a complex Randers metric is described. |
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