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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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11701494, 11671330, 11571288, 11771357) and the Nanhu Scholars Program for Young Scholars of Xinyang Normal University.
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Xia, H., Zhong, C. On strongly convex projectively flat and dually flat complex Finsler metrics. J. Geom. 109, 39 (2018). https://doi.org/10.1007/s00022-018-0445-z
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DOI: https://doi.org/10.1007/s00022-018-0445-z