Einstein metrics, conformal curvature, and anti-holomorphic involutions

Einstein metrics, conformal curvature, and anti-holomorphic involutions
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DOI:
10.1007/s40316-020-00154-2
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发表时间:
2021-02
期刊:
Annales mathématiques du Québec
影响因子:
--
通讯作者:
C. LeBrun
C. LeBrun
中科院分区:
其他
文献类型:
--
作者:
C. LeBrun

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在已有结果的基础上,我们完成了紧定向Einstein四维流形的分类。直到同形,有15个流形携带这样的度量,并且在每个流形上,这样的度量恰好扫过相应的爱因斯坦模空间的一个连通分量。
Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.