Locally conformally SKT structures

As is well known, a Hermitian metric on a complex manifold is called SKT (strong K\”ahler with torsion) if the Bismut torsion form $H$ is such that $dH=0$. In this talk, as a conformal generalisation of the SKT condition, we will introduce a new type of Hermitian structure, called \emph{locally conformally SKT}. Precisely, a Hermitian structure $(J,g)$ is said to be locally conformally SKT if there exists a closed 1-form $\alpha$ such that $dH = \alpha \wedge H$. We will discuss the existence of such structures on Lie groups and their compact quotients by lattices. This is joint work with Anna Fino and Zineb Larbi.

Date and Venue

Start Date


Ana Cristina Ferreira

Speaker's Institution

Universidade do Minho / CMAT


Geometry and Topology