Projectively related complex Finsler metrics

N Aldea, G Munteanu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
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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