Complete Ricci-flat Kähler manifolds of infinite topological type

Complete Ricci-flat Kähler manifolds of infinite topological type
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DOI:
10.1007/bf01228345
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发表时间:
1989-12
影响因子:
2.4
通讯作者:
Michael T. Anderson;P. Kronheimer;C. LeBrun
Michael T. Anderson;P. Kronheimer;C. LeBrun
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Michael T. Anderson;P. Kronheimer;C. LeBrun

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我们证明了复数维2的完备Ricci-Flat Kähler流形的无穷维族,它的第二同调是无限生成的。它们是从Gibbons-Hawking Anatz[2]通过使用无限多的稀疏分布的中心得到的。
We display an infinite dimensional family of complete Ricci-flat Kähler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.