Variational problems in conformal geometry

Abstract: I will present several natural functionals defined on a conformal class of almost Hermitian metrics on a compact manifold, and I will establish their Euler-Lagrange equations. I will show that the Gauduchon metrics appear naturally as the unique extremal metrics of one such functional. Next, a new class of metrics will be introduced, also appearing as extremal in complex dimension two. I will show that these new metrics, while not Gauduchon in general, give again unique representatives, up to constant multiples, of conformal classes of almost Hermitian metrics. This is joint work with D. Angella, A. Otiman and N. Tardini.

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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