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Parallel Translation on Kahler Manifolds

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摘要 In this paper, the author establishs a real-valued function on K?hler manifolds by holomorphic sectional curvature under parallel translation. The author proves if such functions are equal for two simply-connected, complete K?hler manifolds, then they are holomorphically isometric.
作者 Rongmu YAN
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2020年第3期451-464,共14页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(Nos.11571287,11871405) the Fundamental Research Funds for the Central Universities(No.20720150006) the Natural Science Foundation of Fujian Province of China(No.2016J01034)。
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