Gromov‐Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound
Gromov‐Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound
复制标题
具有二分曲率下界的凯勒流形的 Gromov-Hausdorff 极限
DOI：
10.1002/cpa.21724
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发表时间：
2015
影响因子：
3
通讯作者：
Gang Liu
中科院分区：
文献类型：
--
作者：
Gang Liu
给出了一组具有对分曲率下界和非坍缩体积的完全Kähler流形Min序列，证明了其点Gromov‐Hausdorff极限同纯于正规复解析空间。复杂的解析结构是Mi复杂结构的天然“极限”。©2017 Wiley Periodicals, Inc。
Given a sequence of complete Kähler manifolds Min with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov‐Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural “limit” of the complex structure of Mi.© 2017 Wiley Periodicals, Inc.