On the L_q,p-cohomology of Riemannian Manifolds with Negative Curvature

2008/05/13 by Vladimir Gol’dshtein, Vladimir Gol'dshtein, Marc Troyanov +2
Mathematics · #46E35 #53C20 #58A10 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:46E35 #msc:53C20 #msc:58A10

paper · pdf · doi:10.48550/arxiv.0805.1845

10 pages

arxiv created 2008/05/13 · openalex publication_date 2008/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a non-vanishing result for the L_q,p-cohomology of complete simply-connected Riemannian manifolds with pinched negative curvature.

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