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Solutions of the equation of a spinorial Yamabe-type problem on manifolds of bounded geometry

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.

preprint2011arXivOpen access
Nadine Große
math.DG
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