Hyperkähler metrics of cohomogeneity one

Andrew Dancer; Andrew Swann

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

Hyperkähler metrics of cohomogeneity one

^*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

28 Citations (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).

Original language	English
Journal	Journal of Geometry and Physics
Volume	21
Issue	3
Pages (from-to)	218-230
Number of pages	13
ISSN	0393-0440
DOIs	https://doi.org/10.1016/S0393-0440(96)00017-4
Publication status	Published - 1 Jan 1997
Externally published	Yes

Keywords

Calabi metric
Cohomogeneity
Einstein equations
Hyperkähler metrics

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10.1016/S0393-0440(96)00017-4

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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",

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

language = "English",

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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

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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

Keywords

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