21.01.2021, 16:15
– Online-Seminar
Forschungsseminar Differentialgeometrie
Splitting of the Jacobi operator for extremal submanifolds with higher codimension
Claudia Grabs (UP)
We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includes well-posedness and stability for various initial value problems, as well as results on the structure of these equations on black-hole spacetimes (in particular, on the Kerr solution), the index theorem for hyperbolic Dirac operators and properties of the class of Green-hyperbolic operators.