A Circle Quotient Of A G(2) Cone

A study is made of R-6 as a singular quotient of the conical space R+ x CP3 with holonomy G(2), 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 R-6, which can be used effectively to describe the resulting geometrical features. (C) 2020 Elsevier B.V. All rights reserved.