Basics of the Bach flow

Abstract: For a compact Riemannian 4-manifold, the Bach tensor is a multiple of the gradient of the Weyl energy functional. This symmetric 2-tensor is conformally covariant and fourth-order in the metric, and vanishes for any metric conformal to an Einstein metric. Thus finding a Bach flat metric can be thought of as a generalization of the Einstein equation. In my talk I'll review the basics of a geometric flow by the Bach tensor and then report on ongoing work concerning stability of the flow in various settings.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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