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

15 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

Access to Document

10.4310/jdg/1175266266

Cite this

@article{46e0963ebf8b43cdbed4e47038033534,

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.",

author = "J{\'a}nos Koll{\'a}r",

year = "2007",

doi = "10.4310/jdg/1175266266",

language = "English (US)",

volume = "75",

pages = "259--272",

journal = "Journal of Differential Geometry",

issn = "0022-040X",

publisher = "International Press of Boston, Inc.",

number = "2",

}

TY - JOUR

T1 - Einstein metrics on connected sums of S2 × S3

AU - Kollár, János

PY - 2007

Y1 - 2007

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/33847071590

UR - https://www.scopus.com/inward/citedby.url?scp=33847071590&partnerID=8YFLogxK

U2 - 10.4310/jdg/1175266266

DO - 10.4310/jdg/1175266266

M3 - Article

AN - SCOPUS:33847071590

SN - 0022-040X

VL - 75

SP - 259

EP - 272

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

IS - 2

ER -

Einstein metrics on connected sums of S² × S³

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this