Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Metric connections with parallel torsion

Andrei Moroianu

created by raffero on 14 Apr 2021
modified on 27 Apr 2021

11 may 2021 -- 17:00

Differential Geometry Seminar Torino (online)


The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, one of vectorial type, and one of twistorial type. In the first part of the talk I will explain the classification of complete simply connected Riemannian manifolds carrying a metric connection whose torsion is parallel, has non-zero vectorial component and vanishing twistorial component. In the second part I will describe the case where the only non-vanishing component of the torsion is totally skew-symmetric. Although apparently simpler than the previous case, the situation here is much more involved and a complete classification is currently not available.

The talk is based on joint works with Mihaela Pilca and Uwe Semmelmann.


The link of the virtual room will be sent one day before the talk to all registered participants. To register, please send an e-mail to

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