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
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DOI：
10.1080/03605302.2011.618211
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发表时间：
2010-04
影响因子：
1.9
通讯作者：
N. Große
中科院分区：
文献类型：
--
作者：
N. Große
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.
