5 jun 2015 -- 14:30
R. 423 (Konferenzraum)
Abstract.
In 2011 Ahmed and Zeghib studied irreducible homogeneous almost complex manifolds with index 2. They proved that such manifolds are Kähler. In my talk I will show how their methods and ideas can be used to study the quaternionic setting, i.e. irreducible homogeneous spaces of index 4 which admit an almost hypercomplex or an almost quaternionic structure. It will turn out that these spaces are hyper Kähler or quaternionic Kähler respectively.