A note on the existence of nontrivial zero modes on Riemannian manifolds

Jonah Reuß

We prove a necessary criterion for the (non-)existence of nontrivial solutions to the Dirac equation $D\ddot{I}ˆ=iA{\cdot }_{Cl}\ddot{I}ˆ$ on Riemannian manifolds that are either closed or of bo…