Extremal inscribed and circumscribed complex ellipsoids
Metric Geometry
2021-01-01 v1
Abstract
We prove that if a convex set in Cn contains two inscribed complex ellipsoid of maximal volume then one is a translate of the other. On the other hand, the circumscribed complex elipsoid of minimal volume is unique. As application we prove the complex analoge of Brunn's characterization of ellipsods.
Cite
@article{arxiv.2012.14934,
title = {Extremal inscribed and circumscribed complex ellipsoids},
author = {Jorge L. Arocha and Javier Bracho and Luis Montejano},
journal= {arXiv preprint arXiv:2012.14934},
year = {2021}
}
Comments
10 pages