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A circle quotient of a G2 cone

Publication ,  Journal Article
Acharya, BS; Bryant, RL; Salamon, S
Published in: Differential Geometry and Its Application
December 1, 2020
Published version (DOI) Open Access Copy (Duke)

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.

Duke Scholars

Robert Bryant
Author Robert Bryant Mathematics

Published In

Differential Geometry and Its Application

DOI

10.1016/j.difgeo.2020.101681

ISSN

0926-2245

Publication Date

December 1, 2020

Volume

73

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
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Acharya, B. S., Bryant, R. L., & Salamon, S. (2020). A circle quotient of a G2 cone. Differential Geometry and Its Application, 73. https://doi.org/10.1016/j.difgeo.2020.101681
Acharya, B. S., R. L. Bryant, and S. Salamon. “A circle quotient of a G2 cone.” Differential Geometry and Its Application 73 (December 1, 2020). https://doi.org/10.1016/j.difgeo.2020.101681.
Acharya BS, Bryant RL, Salamon S. A circle quotient of a G2 cone. Differential Geometry and Its Application. 2020 Dec 1;73.
Acharya, B. S., et al. “A circle quotient of a G2 cone.” Differential Geometry and Its Application, vol. 73, Dec. 2020. Scopus, doi:10.1016/j.difgeo.2020.101681.
Acharya BS, Bryant RL, Salamon S. A circle quotient of a G2 cone. Differential Geometry and Its Application. 2020 Dec 1;73.
Journal cover image

Published In

Differential Geometry and Its Application

DOI

10.1016/j.difgeo.2020.101681

ISSN

0926-2245

Publication Date

December 1, 2020

Volume

73

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics