Solutions of the equation of a spinorial Yamabe-type problem on manifolds of bounded geometry
arXiv:1004.3387
Abstract
We consider a spinorial Yamabe-type problem on open manifolds of bounded geometry. The aim is to study the existence of solutions to the associated Euler-Lagrange-equation. We show that under suitable assumptions such a solution exists. As an application, we prove that existence of a solution implies the conformal Hijazi inequality for the underlying spin manifold.
accepted for publication in Communications in Partial Differential Equations