Seminar - September 24, 10am, lecture room M5 PDF Print

The seminar on Differential geometry will start on Monday, September 24, 2018, at 10.00, in the lecture room M5 with the first lecture:

Henrik Winther:

Title: Symmetries of complex submanifolds of quaternionic manifolds

The generalized Feix construction (by A.Borowka, D.Calderbank)  identifies c-projective manifolds with type 1,1 curvature with the totally complex submanifolds of quaternionic manifolds. Our goal is to investigate the relationship between c-projective symmetries and quaternionic symmetries in this setting. We will show when a symmetry can be lifted to the quaternionic manifold. Moreover, we show that any maximally- or sub-maximally symmetric quaternionic manifold arises from the construction, for some c-projective manifold. In particular, a (sub-)maximally symmetric c-projective manifold can be used to construct a (sub-)maximally symmetric quaternionic manifold. This is a joint work with A. Borowka.

Last Updated on Friday, 21 September 2018 15:28