Ellipsoids in pseudoconvex domains
Complex Variables
2026-02-19 v2 Metric Geometry
Abstract
We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.
Cite
@article{arxiv.2602.15240,
title = {Ellipsoids in pseudoconvex domains},
author = {Laszlo Lempert},
journal= {arXiv preprint arXiv:2602.15240},
year = {2026}
}