On the second Paneitz-Branson invariant

2007/10/02 by Mohammed Benalili, Benalili, Mohammed, Hichem Boughazi +1
Mathematics · #53A30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.0710.0492

openalex publication_date 2007/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the second Paneitz-Branson operator on a compact Einsteinian manifold of dimension n≥ 5 and we give sufficient conditions that make it attained.

Citations

• A relation between pointwise convergence of functions and convergence of functionals

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