2009/12/17 by Mostafa Esfahani Zadeh, Zadeh, Mostafa Esfahani
Mathematics · #58J22 (19K56 46L80 53C21 53C27) #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Operator Algebras (math.OA) #math.DG #math.OA #msc:46L80 #msc:53C21 #msc:58J22
paper · pdf · doi:10.48550/arxiv.0912.3352
arxiv created 2009/12/17 · openalex publication_date 2009/12/17 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short note we show how the higher index theory can be used to prove results concerning the non-existence of complete riemannian metric with uniformly positive scalar curvature at infinity. By improving some classical results due to M. Gromov and B. Lawson we show the efficiency of these methods in dealing with such non-existence theorems.