Projectively related complex Finsler metrics

Details Projectively related complex Finsler metrics Projectively related complex Finsler metrics

2011-06-05

arxiv.org/abs/1106.0893v1

Mathematics

Differential Geometry

Scientific paper

In this paper we introduce in study the projectively related complex Finsler metrics. We prove the complex versions of the Rapcs\'{a}k's theorem and characterize the weakly K\"{a}hler 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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