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A Uniform Estimate for Scalar Curvature Equation on Manifolds of dimension 4

2006/08/01 by Samy Skander Bahoura, Bahoura, Samy Skander
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.math/0608021

8 pages

arxiv created 2006/08/01 · openalex publication_date 2006/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On Riemannian manifolds of dimension 4, for prescribed scalar curvature equation, under lipschitzian condition on the prescribed curvature, we have an uniform estimate for the solutions of the equation if we control their minimas.

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