SKT and Kähler-like metrics on complex manifolds

Nicoletta Tardini (Università di Parma)

30-Jun-2021, 09:00-10:00 (3 years ago)

Abstract: Several special non-Kähler Hermitian metrics can be introduced on complex manifolds. Among them, SKT metrics deserve particular attention. They can be defined on a complex manifold by saying that the torsion of the Bismut connection associated to the metric is closed. These metrics always exist on compact complex surfaces but the situation in higher dimension is very different. We will discuss several properties concerning these metrics also in relation with the Bismut connection having Kähler-like curvature. Since this last property on nilmanifolds will force the complex structure to be abelian, we will also discuss the relation between SKT metrics and abelian complex structures on unimodular Lie algebras. These are joint works with Anna Fino and Luigi Vezzoni.

complex variablesdifferential geometrymetric geometry

Audience: researchers in the topic

( video )


Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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Organizers: Fernando Galaz-García*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret*
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