Einstein metrics on connected sums of S2 × S3

János Kollár

doi:10.4310/jdg/1175266266

Einstein metrics on connected sums of S² × S³

János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper we construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of S² × S³. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A Kähler–Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi–Boyer–Galicki method.

Original language	English (US)
Pages (from-to)	259-272
Number of pages	14
Journal	Journal of Differential Geometry
Volume	75
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1175266266
State	Published - 2007

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1175266266

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title = "Einstein metrics on connected sums of S2 × S3",

abstract = "In this paper we construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of S2 × S3. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A K{\"a}hler–Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi–Boyer–Galicki method.",

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AB - In this paper we construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of S2 × S3. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A Kähler–Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi–Boyer–Galicki method.

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Einstein metrics on connected sums of S² × S³

Abstract

All Science Journal Classification (ASJC) codes

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