Fractional Poincaré inequality with finite total Q-curvature

2016/01/01 by Yannick Sire, Yi Wang, Sire, Yannick +1
Mathematics · #53A30 (Primary) #53C21 (Secondary) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.DG #msc:53A30 #msc:53C21

paper · pdf · doi:10.48550/arxiv.1601.00100

22 pages. arXiv admin note: text overlap with arXiv:1306.1841

arxiv created 2016/01/01 · openalex publication_date 2016/01/01 · arxiv updated 2016/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove several Poincaré inequalities of fractional type on conformally flat manifolds with finite total Q-curvature. This shows a new aspect of the Q-curvature on noncompact complete manifolds.

Citations

• Isoperimetric inequality, Q-curvature and A_p weights

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