On hyper-Kähler manifolds of type \(A_ \infty\) (Q1331639)
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scientific article; zbMATH DE number 624603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On hyper-Kähler manifolds of type \(A_ \infty\) |
scientific article; zbMATH DE number 624603 |
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On hyper-Kähler manifolds of type \(A_ \infty\) (English)
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25 August 1994
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A hyper-Kähler manifold is a Riemannian manifold equipped with three complex structures \(i,j,k\) satisfying the quaternionic relations, such that the metric is Kähler for each of these complex structures. In this paper a family of noncompact hyper-Kähler manifolds is obtained using an infinite dimensional hyper-Kähler quotient construction. Their geometric and topological properties are studied, and are related to those of other hyper-Kähler quotients constructed by Kronheimer and others.
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hyper-Kähler quotient
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