2019/04/22 by Vladimir Gol’dshtein, Vladimir Gol'dshtein, Gol'dshtein, Vladimir +2
Mathematics · #46E30 #55N05 #58A12 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.DG #msc:46E30 #msc:55N05 #msc:58A12
paper · pdf · doi:10.48550/arxiv.1904.09914
arxiv created 2019/04/22 · openalex publication_date 2019/04/22 · arxiv updated 2019/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a vanishing result for the Lq,p-cohomology (q≥ p) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the (p,q) Sobolev--Poincaré inequality developed by L.~Shartser.