English

A remark on the second order estimates for the quaternionic Calabi-Yau problem on hyperk\"ahler manifolds

Differential Geometry 2025-12-16 v1

Abstract

We revisit the second order estimate for solutions to the quaternionic Calabi-Yau problem on hyperk\"ahler manifolds, originally established by Dinew and Sroka. In this note, we present a simplified argument to derive the estimate.

Keywords

Cite

@article{arxiv.2512.12415,
  title  = {A remark on the second order estimates for the quaternionic Calabi-Yau problem on hyperk\"ahler manifolds},
  author = {Giovanni Gentili and Luigi Vezzoni},
  journal= {arXiv preprint arXiv:2512.12415},
  year   = {2025}
}