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Kähler Finsler metrics are actually strongly Kähler

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Abstract

In this paper, the Kähler conditions of the Chern-Finsler connection in complex Finsler geometry are studied, and it is proved that Kähler Finsler metrics are actually strongly Kähler.

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Correspondence to Bin Chen.

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Project supported by the National Natural Science Foundation of China (No. 10571154).

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Chen, B., Shen, Y. Kähler Finsler metrics are actually strongly Kähler. Chin. Ann. Math. Ser. B 30, 173–178 (2009). https://doi.org/10.1007/s11401-008-0092-z

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  • DOI: https://doi.org/10.1007/s11401-008-0092-z

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