2008/04/30 by Nadine Große · 5 citations
Mathematics · #Conformal map #Curvature #Eigenvalues and eigenvectors #Geometric Analysis and Curvature Flows #Geometry #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Partial Differential Equations #Pure mathematics #Scalar (mathematics) #Scalar curvature #Sectional curvature #Spectral Theory in Mathematical Physics #Yamabe flow #math.DG #msc:53C21 #msc:53C27
paper · pdf · doi:10.1016/j.difgeo.2011.08.011
published in Differential Geometry and its Applications 29(6), 838-849 (Elsevier BV)
openalex publication_date 2011/08/25 · arxiv created 2011/11/10 · arxiv updated 2011/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove the Hijazi inequality, an estimate for Dirac eigenvalues, for complete manifolds of finite volume. Under some additional assumptions on the dimension and the scalar curvature, this inequality is also valid for elements of the essential spectrum. This allows to prove the conformal version of the Hijazi inequality on conformally parabolic manifolds if the spin analog to the Yamabe invariant is positive.