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

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

2010-04-20

arxiv.org/abs/1004.3387v2

Mathematics

Differential Geometry

accepted for publication in Communications in Partial Differential Equations

Scientific paper

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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