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| Parallel Translation on K\"{a}hler Manifolds |
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Citation： |
Rongmu YAN.Parallel Translation on K\"{a}hler Manifolds[J].Chinese Annals of Mathematics B,2020,41(3):451~464 |
| Page view： 660
Net amount： 608 |
Authors： |
Rongmu YAN; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11571287, 11871405), the Fundamental
Research Funds for the Central Universities (No.20720150006) and
the Natural Science Foundation of Fujian Province of China
(No.2016J01034). |
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| Abstract： |
In this paper, the author establishs a real-valued function on
K\"{a}hler manifolds by holomorphic sectional curvature under
parallel translation. The author proves if such functions are equal
for two simply-connected, complete K\"{a}hler manifolds, then they
are holomorphically isometric. |
Keywords： |
K"{a}hler manifold, Holomorphic sectional curvature, Paralleltranslation |
Classification： |
32Q15 |
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