Mathematisches Seminar

Benedict Meinke (Universität Hamburg) "Homogeneous almost quaternionic pseudo-Hermitian spaces"

05.06.2015 von 14:30 bis 15:30

LMS 4 - Raum 424 - Kleiner Hörsaal

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.

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