English

On strongly convex projectively flat and dually flat complex Finsler metrics

Differential Geometry 2017-10-04 v1 Complex Variables

Abstract

In this paper, we prove that a strongly convex complex Finsler metric FF on a domain DCnD\subset\mathbb{C}^n is projectively flat (resp. dually flat) if and only if FF comes from a strongly convex complex Minkowski metric.

Keywords

Cite

@article{arxiv.1710.01024,
  title  = {On strongly convex projectively flat and dually flat complex Finsler metrics},
  author = {Hongchuan Xia and Chunping Zhong},
  journal= {arXiv preprint arXiv:1710.01024},
  year   = {2017}
}