The geometry of singular quaternionic Kähler quotients

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 -