Note on explicit proof of Poincare inequality for differential forms on manifolds

2010/10/16 by Leonid Shartser, Shartser, Leonid
Mathematics · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Equations Stability Results #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.CA #math.DG

paper · pdf · doi:10.48550/arxiv.1010.3356

24 pages

arxiv created 2010/10/16 · openalex publication_date 2010/10/16 · arxiv updated 2010/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a Poincare type inequality for differential forms on compact manifolds by means of a constructive 'globalization' of a local Poincare inequality on convex sets.

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