Projectively related complex Finsler metrics

2011/06/05 by Nicoleta Aldea, Aldea, Nicoleta, Gheorghe Munteanu +1
Mathematics · #53B40 #53C60 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B40 #msc:53C60

paper · pdf · doi:10.48550/arxiv.1106.0893

arxiv created 2011/06/05 · arxiv updated 2011/06/07

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.

Related

• On strongly convex projectively flat and dually flat complex Finsler metrics
• Two Families of Finsler Metrics Projectively Related to a Kropina Metric
• On projective invariants of the complex Finsler spaces
• Deformations and Hilbert's Fourth Problem
• Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains