Gromov‐Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II
Gromov‐Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II
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里奇曲率下界为 II 的克勒流形的格罗莫夫豪斯多夫极限
DOI：
10.1002/cpa.21900
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发表时间：
2020
影响因子：
3
通讯作者：
Szekelyhidi, Gábor
中科院分区：
文献类型：
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作者：
Liu, Gang;Szekelyhidi, Gábor
研究了Ricci曲率有界的Kähler流形的非塌陷Gromov-Hausdorff极限.我们的主要结果是，每个切锥同胚的正规仿射簇。这推广了唐纳森-孙的一个结果，他考虑了具有双侧Ricci曲率界的极化凯勒流形的非塌缩极限。© 2019 Wiley Periodicals LLC
We study noncollapsed Gromov‐Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson‐Sun, who considered noncollapsed limits of polarized Kähler manifolds with two‐sided Ricci curvature bounds. © 2019 Wiley Periodicals LLC