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:Symmetries of complex submanifolds of quaternionic manifolds Abstract: The generalized Feix construction (by A.Borowka, D.Calderbank) identifies cprojective manifolds with type 1,1 curvature with the totally complex submanifolds of quaternionic manifolds. Our goal is to investigate the relationship between cprojective 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 submaximally symmetric quaternionic manifold arises from the construction, for some cprojective manifold. In particular, a (sub)maximally symmetric cprojective manifold can be used to construct a (sub)maximally symmetric quaternionic manifold. This is a joint work with A. Borowka.
