A classification of unitary invariant weakly complex Berwald metrics of constant holomorphic curvature |
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Institution: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract: | In this paper, we give a characterization of strongly pseudoconvex complex Finsler metric F which is unitary invariant. A necessary and sufficient condition for F to be a weakly complex Berwald metric and a necessary and sufficient condition for F to be a weakly Kähler Finsler metric are given, respectively. We also give a classification of unitary invariant weakly complex Berwald metrics which are of constant holomorphic curvatures. |
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Keywords: | Unitary invariant Weakly complex Berwald metric Weakly Kähler Finsler metric Constant holomorphic curvature |
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