Solutions of the Equation of a Spinorial Yamabe-type Problem on Manifolds of Bounded Geometry |
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| Authors: | Nadine Große |
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| Affiliation: | 1. Faculty of Mathematics and Computer Science , University of Leipzig , Leipzig , Germany grosse@mathematik.uni-leipzig.de |
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| 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. |
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| Keywords: | Open manifolds with bounded geometry PDE Spin conformal geometry |
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