Hölder continuous potentials on manifolds with partially positive curvature

2009/04/16 by Sławomir Dinew, Dinew, Slawomir
Mathematics · #32U15 #53C55 #Complex Variables (math.CV) #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.0904.2578

openalex publication_date 2009/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that solutions of the complex Monge-Ampère equation on compact Kähler manifolds with right hand side in L^p, p>1 are uniformly Hölder continuous under the assumption on non-negative orthogonal bisectional curvature.

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