Publications [#352300] of Robert Bryant

Papers Published

1. Acharya, BS; Bryant, RL; Salamon, S, A circle quotient of a G2 cone, Differential Geometry and its Application, vol. 73 (December, 2020), pp. 43 pages, Elsevier [doi]
   (last updated on 2024/04/23)

   Abstract:
   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.