Title	Quadratic closed $G_2$-structures
Creator	Ball, Gavin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-07T16:00
Description	I will talk about a special class of closed $G_2$-structures, those satisfying the `quadratic' condition. This is a second order PDE system first written down by Bryant that can be interpreted as a condition on the Ricci curvature of the induced metric, that includes the extremally Ricci-pinched (ERP) condition as a special case. I will talk about various constructions of quadratic closed $G_2$-structures, including the first examples of ERP closed $G_2$-structures that are not locally homogeneous and the first examples of quadratic closed $G_2$-structures that are not ERP. I will discuss the relationship with the Laplace flow, and give new examples of Laplace solitons.
Extent	66.0 minutes
Subject	Mathematics; Differential geometry; Geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Duke University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385123
URI	http://hdl.handle.net/2429/72220
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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