A circle quotient of a G2 cone

Bobby Samir Acharya; Robert L. Bryant; Simon Salamon

doi:10.1016/j.difgeo.2020.101681

A circle quotient of a G2 cone

Bobby Samir Acharya, Robert L. Bryant, Simon Salamon

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Abstract

A study is made of R ⁶ as a singular quotient of the conical space R ⁺×CP ³ with holonomy G ₂, with respect to an obvious action by U(1) on CP ³ 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.

Original language	English
Article number	101681
Journal	DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Volume	73
Early online date	7 Sept 2020
DOIs	https://doi.org/10.1016/j.difgeo.2020.101681
Publication status	Published - 1 Dec 2020

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10.1016/j.difgeo.2020.101681

A circle quotient of a G2 cone_ACHARYA_2019_GREEN PPSubmitted manuscript, 1.08 MB
A circle quotient_ACHARYA_Accepted 23 Aug 2020_GREEN_AAMAccepted author manuscript, 1.05 MBLicence: Unspecified

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A circle quotient of a G2 cone

Abstract

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