Geometric flows of G_2 structures

Conference item

Geometric flows have proved to be a powerful geometric analysis tool, perhaps most notably in the study of 3-manifold topology, the differentiable sphere theorem, Hermitian-Yang-Mills connections and canonical Kaehler metrics. In the context of G_2 geometry, there are several geometric flows which arise. Each flow provides a potential means to study the geometry and topology associated with a given class of G_2 structures. We will introduce these flows, and describe some of the key known results and open problems in the field.

Authors: Lotay, J

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Host title: Lectures and Surveys on G2-Manifolds and Related Topics
• Series: Fields Institute Communications
• Series number: 84
• Publication date: 2020-01-31
• Acceptance date: 2018-10-02
• Event title: Workshop on G2 Manifolds and Related Topics
• Event location: Toronto, Canada
• Event website: http://www.fields.utoronto.ca/activities/17-18/geometricanalysis-G2
• Event start date: 2017-08-21
• Event end date: 2017-08-25
• ISSN: 1069-5265
• EISBN: 978-1-07-160577-6
• ISBN: 978-1-07-160576-9
• Language: English