A uniqueness theorem in Kähler geometry

A uniqueness theorem in Kähler geometry
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DOI:
10.1007/s00208-009-0358-0
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发表时间:
2009-03
影响因子:
1.4
通讯作者:
Pengfei Guan;Qun Li;Xi Zhang
Pengfei Guan;Qun Li;Xi Zhang
中科院分区:
数学2区
文献类型:
--
作者:
Pengfei Guan;Qun Li;Xi Zhang

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我们考虑紧凯勒流形,其 Kähler Ricci 张量满足 F(Ric) = 常数。在非负二等分曲率假设和 F 的某些条件下,我们证明这些度量实际上是 Kähler-Einstein。
We consider compact Kähler manifolds with their Kähler Ricci tensor satisfyingF(Ric) = constant. Under the nonnegative bisectional curvature assumption and certain conditions onF, we prove that such metrics are in fact Kähler–Einstein.