A uniform estimate for general quaternionic Calabi problem (with\n appendix by Daniel Barlet)

2015/02/08 by Semyon Alesker, Alesker, Semyon, Egor Shelukhin +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1502.02267

openalex publication_date 2015/02/08 · openalex created_date 2022/09/28 · openalex updated_date 2026/07/28

Abstract

We prove a C⁰ a priori estimate on a solution of the quaternionic Calabi\nproblem on an arbitrary compact connected HKT-manifold. This generalizes\nearlier works where this result was proven under certain extra assumptions on\nthe manifold.\n

Cited by

• A remark on the second order estimates for the quaternionic Calabi-Yau problem on hyperkähler manifolds

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