Projective complex Finsler metrics

@article{Munteanu2004ProjectiveCF,
  title={Projective complex Finsler metrics},
  author={Gheorghe Munteanu},
  journal={Periodica Mathematica Hungarica},
  year={2004},
  volume={48},
  pages={141-150}
}
In this paper we obtain the conditions under which two complex Finsler metrics are projective, i.e. have the same geodesics as point sets. Two important classes of such metrics are considered: conformal projective and weakly projective complex Finsler spaces. For each of them we study the transformations of the canonical connection. We pay attention to local projectivity in a pure Hermitian or Kähler space. 
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