Event

Talk
Holonomy of conformal structures, special conformal geometries and conform-parallel spinors
Prof. Dr. Helga Baum
21 Jun 2005, 16:30 – 17:30

The holonomy theory of semi-Riemannian manifolds is well-known. Special metric holonomies are related to distinguished geometric structures (such as Kähler, Calabi-Yau, G2,... ) and allow us to decide how many parallel spinors exist. In the seminar I will dicuss the same question in conformal geometry. In the first part I will introduce some basics of conformal Cartan geometry which are necessary to define the notion of conformal holonomy. In the second part I will review recent results on the holonomy of Riemannian and of Lorentzian conformal structures. I will explain geometric properties of conformal structure with special holonomy, in particular the relation to Einstein manifolds and to the existence of conform-parallel spinors.

Related to:

• Helga Baum