21.01.2021, 16:15
– Online-Seminar
Forschungsseminar Differentialgeometrie
Splitting of the Jacobi operator for extremal submanifolds with higher codimension
Claudia Grabs (UP)
We survey relations between the dimension of the solution space of the Dirac equation and the topology of the underlying manifold. It is shown that in certain dimensions existence of metrics with harmonic spinors is not topologically obstructed. In this respect the Dirac operator behaves very differently from the Laplace-Beltrami operator.