Projectively related complex Finsler metrics
Differential Geometry
2011-06-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1106.0893,
title = {Projectively related complex Finsler metrics},
author = {Nicoleta Aldea and Gheorghe Munteanu},
journal= {arXiv preprint arXiv:1106.0893},
year = {2011}
}