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A circle quotient of a G2 cone

Research output: Contribution to journalArticle

Original languageEnglish
Article number101681
Pages (from-to)101681
JournalDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Volume73
Early online date7 Sep 2020
DOIs
Publication statusE-pub ahead of print - 7 Sep 2020

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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.

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