Research
Our research is concerned with topics from differential geometry and global analysis. More specifically, we are interesed in the following topics:
- Dirac operators on Riemannian and Lorentzian manifolds
- Twistor spinors and Killing spinors on Riemannian and Pseudo-Reimannian manifolds (H. Baum)
- Spinor field euqations in string theory
- Global Lorentzian geometry
- Holonomy groups of Lorentzian manifolds (H. Baum, P. Schemel)
- CR and contact geometry
- Feffermann spaces and boundary constructions (L.Fehlinger)
- Adapted connections and Dirac operators (C. Stadtmüller)
- Homogeneous Lorentz manifolds
- Conformal geometry: Conformal invariants, Cartan connections, conformal differential operators and holonomy of conformal structures (A. Juhl, M. Fischmann)