2010/04/20 by Nadine Große, Große, Nadine
Computer Science · Mathematics · #35R01 #53A30 #53C27 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.DG #msc:35R01 #msc:53A30 #msc:53C27
paper · pdf · doi:10.48550/arxiv.1004.3387
accepted for publication in Communications in Partial Differential Equations
openalex publication_date 2010/04/20 · arxiv created 2011/08/26 · arxiv updated 2011/08/29 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
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.