Gravitational instantons from rational elliptic surfaces (Q2879887)
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scientific article; zbMATH DE number 6022631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gravitational instantons from rational elliptic surfaces |
scientific article; zbMATH DE number 6022631 |
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Gravitational instantons from rational elliptic surfaces (English)
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5 April 2012
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gravitational instantons
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hyper-Kähler
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rational elliptic surface
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Monge-Ampére equation
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The author constructs several new families of gravitational instantons that may resolve some issues on the conjecture which states that the most complete hyper-Kähler 4-manifolds are locally asymptotic to \(\mathbb{R}^{k}\times T^{4-k}\), where cases \(k=3,2,1\) are named ALF, ALG, ALH respectively. Among the other things, the author describes the sets of ALG and ALH spaces that are expected to be exhaustive up to certain specific deformations.
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