A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)
Analysis of PDEs
2017-05-24 v3 Differential Geometry
Abstract
We prove a a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier works where this result was proven under certain extra assumptions on the manifold.
Cite
@article{arxiv.1502.02267,
title = {A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)},
author = {Semyon Alesker and Egor Shelukhin},
journal= {arXiv preprint arXiv:1502.02267},
year = {2017}
}
Comments
51 pages; minor corrections