A circle quotient of a G2 cone

Accepted

Journal Article

© 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.

Full Text

Duke Authors

Cited Authors

  • Acharya, BS; Bryant, RL; Salamon, S

Published Date

  • December 1, 2020

Published In

Volume / Issue

  • 73 /

International Standard Serial Number (ISSN)

  • 0926-2245

Digital Object Identifier (DOI)

  • 10.1016/j.difgeo.2020.101681

Citation Source

  • Scopus