A circle quotient of a G<inf>2</inf> cone

dc.contributor.author

Bryant, Robert

dc.contributor.author

Acharya, Bobby

dc.contributor.author

Salamon, Simon

dc.date.accessioned

2020-12-08T15:47:50Z

dc.date.available

2020-12-08T15:47:50Z

dc.date.issued

2020-12-01

dc.date.updated

2020-12-08T15:47:48Z

dc.description.abstract

© 2020 A study is made of R6 as a singular quotient of the conical space R+×CP3 with holonomy G2, with respect to an obvious action by U(1) on CP3 with fixed points. Closed expressions are found for the induced metric, and for both the curvature and symplectic 2-forms characterizing the reduction. All these tensors are invariant by a diagonal action of SO(3) on R6, which can be used effectively to describe the resulting geometrical features.

dc.identifier.issn

0926-2245

dc.identifier.uri

https://hdl.handle.net/10161/21875

dc.language

en

dc.publisher

Elsevier BV

dc.relation.ispartof

Differential Geometry and its Application

dc.relation.isversionof

10.1016/j.difgeo.2020.101681

dc.title

A circle quotient of a G2 cone

dc.type

Journal article

duke.contributor.orcid

Bryant, Robert|0000-0002-4890-2471

pubs.begin-page

101681

pubs.end-page

101681

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Mathematics

pubs.organisational-group

Duke

pubs.publication-status

Published

pubs.volume

73

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