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arXiv · 1004.3387

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

Nadine Große
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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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Nadine Große. 2011-08-26. Solutions of the equation of a spinorial Yamabe-type problem on manifolds of bounded geometry. https://arxiv.org/abs/1004.3387

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