The geometry of singular quaternionic Kähler quotients

Andrew Dancer; Andrew Swann

doi:10.1142/S0129167X97000317

The geometry of singular quaternionic Kähler quotients

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

Two descriptions of quaternionic Kähler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic Kähler or locally Kähler structures; the second as a union of quaternionic Kähler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic Kähler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperKähler and 3-Sasakian quotients are given.

Original language	English
Journal	International Journal of Mathematics
Volume	8
Issue	5
Pages (from-to)	595-610
Number of pages	16
ISSN	0129-167X
DOIs	https://doi.org/10.1142/S0129167X97000317
Publication status	Published - 1 Jan 1997
Externally published	Yes

Access to Document

10.1142/S0129167X97000317

Cite this

@article{1c638e67fbea47ceb3078b2bf0fd91bb,

title = "The geometry of singular quaternionic K{\"a}hler quotients",

abstract = "Two descriptions of quaternionic K{\"a}hler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic K{\"a}hler or locally K{\"a}hler structures; the second as a union of quaternionic K{\"a}hler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic K{\"a}hler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperK{\"a}hler and 3-Sasakian quotients are given.",

author = "Andrew Dancer and Andrew Swann",

year = "1997",

month = jan,

day = "1",

doi = "10.1142/S0129167X97000317",

language = "English",

volume = "8",

pages = "595--610",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte. Ltd.",

number = "5",

}

TY - JOUR

T1 - The geometry of singular quaternionic Kähler quotients

AU - Dancer, Andrew

AU - Swann, Andrew

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Two descriptions of quaternionic Kähler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic Kähler or locally Kähler structures; the second as a union of quaternionic Kähler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic Kähler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperKähler and 3-Sasakian quotients are given.

AB - Two descriptions of quaternionic Kähler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic Kähler or locally Kähler structures; the second as a union of quaternionic Kähler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic Kähler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperKähler and 3-Sasakian quotients are given.

UR - http://www.scopus.com/inward/record.url?scp=0031286949&partnerID=8YFLogxK

U2 - 10.1142/S0129167X97000317

DO - 10.1142/S0129167X97000317

M3 - Journal article

AN - SCOPUS:0031286949

SN - 0129-167X

VL - 8

SP - 595

EP - 610

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 5

ER -

The geometry of singular quaternionic Kähler quotients

Abstract

Access to Document

Other files and links

Fingerprint

Cite this