Balanced HKT metrics.

Abstract: Balanced HKT metrics in hypercomplex geometry are thought to be the quaternionic analog of Calabi-Yau metrics in Kahler geometry. In this talk, first we prove the openness of balanced HKT cone inside the cone of HKT structures on a compact hypercomplex manifold. We also study the Lie algebra of hyperholomorphic vector fields. For instance, we prove a harmonicity property for forms dual to hyperholomorphic vector fields. This is a joint with Giovanni Gentili.

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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