Hyperkähler metrics of cohomogeneity one

Andrew Dancer; Andrew Swann

doi:10.1016/S0393-0440(96)00017-4

Hyperkähler metrics of cohomogeneity one

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

28 Citationer (Scopus)

Abstract

Irreducible hyperkähler manifolds of dimension greater than four admitting a cohomogeneity-one action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*ℂP(n).

Originalsprog	Engelsk
Tidsskrift	Journal of Geometry and Physics
Vol/bind	21
Nummer	3
Sider (fra-til)	218-230
Antal sider	13
ISSN	0393-0440
DOI	https://doi.org/10.1016/S0393-0440(96)00017-4
Status	Udgivet - 1 jan. 1997
Udgivet eksternt	Ja

Adgang til dokumentet

10.1016/S0393-0440(96)00017-4

Andre filer og links

http://www.scopus.com/inward/record.url?scp=0031067264&partnerID=8YFLogxK

Citationsformater

@article{d9aa58a8c6324317b68906a35d1aa997,

title = "Hyperk{\"a}hler metrics of cohomogeneity one",

abstract = "Irreducible hyperk{\"a}hler manifolds of dimension greater than four admitting a cohomogeneity-one action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*ℂP(n).",

keywords = "Calabi metric, Cohomogeneity, Einstein equations, Hyperk{\"a}hler metrics",

author = "Andrew Dancer and Andrew Swann",

year = "1997",

month = jan,

day = "1",

doi = "10.1016/S0393-0440(96)00017-4",

language = "English",

volume = "21",

pages = "218--230",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Hyperkähler metrics of cohomogeneity one

AU - Dancer, Andrew

AU - Swann, Andrew

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Irreducible hyperkähler manifolds of dimension greater than four admitting a cohomogeneity-one action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*ℂP(n).

AB - Irreducible hyperkähler manifolds of dimension greater than four admitting a cohomogeneity-one action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*ℂP(n).

KW - Calabi metric

KW - Cohomogeneity

KW - Einstein equations

KW - Hyperkähler metrics

UR - http://www.scopus.com/inward/record.url?scp=0031067264&partnerID=8YFLogxK

U2 - 10.1016/S0393-0440(96)00017-4

DO - 10.1016/S0393-0440(96)00017-4

M3 - Journal article

AN - SCOPUS:0031067264

SN - 0393-0440

VL - 21

SP - 218

EP - 230

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

Hyperkähler metrics of cohomogeneity one

Abstract

Adgang til dokumentet

Andre filer og links

Fingeraftryk

Citationsformater