On strongly convex projectively flat and dually flat complex Finsler metrics

2017/10/03 by Xia, Hongchuan, Zhong, Chunping
#53C40 #53C60 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.01024

Abstract

In this paper, we prove that a strongly convex complex Finsler metric F on a domain D⊂ℂⁿ is projectively flat (resp. dually flat) if and only if F comes from a strongly convex complex Minkowski metric.

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