A circle quotient of a G<inf>2</inf> cone
Abstract
© 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.
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https://hdl.handle.net/10161/21875Published Version (Please cite this version)
10.1016/j.difgeo.2020.101681Publication Info
(2020). A circle quotient of a G<inf>2</inf> cone. Differential Geometry and its Application, 73. pp. 101681-101681. 10.1016/j.difgeo.2020.101681. Retrieved from https://hdl.handle.net/10161/21875.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Robert Bryant
Phillip Griffiths Professor of Mathematics
My research concerns problems in the geometric theory of partial differential equations.
More specifically, I work on conservation laws for PDE, Finsler geometry, projective
geometry, and Riemannian geometry, including calibrations and the theory of holonomy.
Much of my work involves or develops techniques for studying systems of partial differential
equations that arise in geometric problems. Because of their built-in invariance
properties, these systems often have specia
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