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On strongly convex projectively flat and dually flat complex Finsler metrics (1710.01024v1)

Published 3 Oct 2017 in math.DG and math.CV

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

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