A remark on the second order estimates for the quaternionic Calabi–Yau problem on hyperkähler manifolds
Abstract
Abstract We revisit the second order estimate for solutions to the quaternionic Calabi–Yau problem on hyperkähler manifolds, originally established by Dinew and Sroka in [S. Dinew and M. Sroka, On the Alesker-Verbitsky conjecture on hy pe rKähler manifolds , Geom. Funct. Anal. 33 (2023), no. 4, 875–911]. In this note, we present a simplified argument to derive the estimate.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic and Geometric Analysis
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Complex Manifolds
- Volume
- 13
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN