Einstein metrics and exotic smooth structures

Masashi Ishida

doi:10.2140/pjm.2012.258.327

Einstein metrics and exotic smooth structures

Masashi Ishida

SCI - Mathematics

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

Abstract

We prove new existence theorems of 4-manifolds admitting infinitely manydistinct smooth structures for which no Einstein metric exists.

Original language	English
Pages (from-to)	327-348
Number of pages	22
Journal	Pacific Journal of Mathematics
Volume	258
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2012.258.327
Publication status	Published - 2012 Aug

Keywords

Einstein metrics
Seiberg-Witten invariants
Smooth structures

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2140/pjm.2012.258.327

Cite this

@article{9c037c63844b4b6cb132e4061265169f,

title = "Einstein metrics and exotic smooth structures",

abstract = "We prove new existence theorems of 4-manifolds admitting infinitely manydistinct smooth structures for which no Einstein metric exists.",

keywords = "Einstein metrics, Seiberg-Witten invariants, Smooth structures",

author = "Masashi Ishida",

year = "2012",

month = aug,

doi = "10.2140/pjm.2012.258.327",

language = "English",

volume = "258",

pages = "327--348",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "2",

}

TY - JOUR

T1 - Einstein metrics and exotic smooth structures

AU - Ishida, Masashi

PY - 2012/8

Y1 - 2012/8

N2 - We prove new existence theorems of 4-manifolds admitting infinitely manydistinct smooth structures for which no Einstein metric exists.

AB - We prove new existence theorems of 4-manifolds admitting infinitely manydistinct smooth structures for which no Einstein metric exists.

KW - Einstein metrics

KW - Seiberg-Witten invariants

KW - Smooth structures

UR - http://www.scopus.com/inward/record.url?scp=84866558403&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866558403&partnerID=8YFLogxK

U2 - 10.2140/pjm.2012.258.327

DO - 10.2140/pjm.2012.258.327

M3 - Article

AN - SCOPUS:84866558403

VL - 258

SP - 327

EP - 348

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -

Einstein metrics and exotic smooth structures

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this