Einstein metrics, conformal curvature, and anti-holomorphic involutions

Claude LeBrun

doi:10.1007/s40316-020-00154-2

Einstein metrics, conformal curvature, and anti-holomorphic involutions

Claude LeBrun

Mathematics

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

1 Scopus citations

Abstract

Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with det (W⁺) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.

Original language	English
Pages (from-to)	391-405
Number of pages	15
Journal	Annales Mathematiques du Quebec
Volume	45
Issue number	2
DOIs	https://doi.org/10.1007/s40316-020-00154-2
State	Published - Oct 2021

Access to Document

10.1007/s40316-020-00154-2

Cite this

@article{06fad00fd9024a179b362555fca9a218,

title = "Einstein metrics, conformal curvature, and anti-holomorphic involutions",

abstract = "Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with det (W+) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.",

author = "Claude LeBrun",

note = "Publisher Copyright: {\textcopyright} 2021, Fondation Carl-Herz and Springer Nature Switzerland AG.",

year = "2021",

month = oct,

doi = "10.1007/s40316-020-00154-2",

language = "English",

volume = "45",

pages = "391--405",

journal = "Annales Mathematiques du Quebec",

issn = "2195-4755",

number = "2",

}

TY - JOUR

T1 - Einstein metrics, conformal curvature, and anti-holomorphic involutions

AU - LeBrun, Claude

PY - 2021/10

Y1 - 2021/10

N2 - Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with det (W+) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.

AB - Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with det (W+) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.

UR - https://www.scopus.com/pages/publications/85101286062

U2 - 10.1007/s40316-020-00154-2

DO - 10.1007/s40316-020-00154-2

M3 - Article

AN - SCOPUS:85101286062

SN - 2195-4755

VL - 45

SP - 391

EP - 405

JO - Annales Mathematiques du Quebec

JF - Annales Mathematiques du Quebec

IS - 2

ER -

Einstein metrics, conformal curvature, and anti-holomorphic involutions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this