An overview of complex ellipsoids
Metric Geometry
2022-12-12 v1
Abstract
An ellipsoid is the image of a ball under an affine transformation. If this affine transformation is over the complex numbers, we refer to it as a complex ellipsoid. Characterizations of real ellipsoids have received much attention over the years however, characterizations of complex ellipsoids have been studied very little. This paper is a review of what is known about complex ellipsoids from the point of view of convex geometry. In particular, the proof of the Complex Banach Conjecture.
Cite
@article{arxiv.2212.05049,
title = {An overview of complex ellipsoids},
author = {Jorge Luis Arocha and Javier Bracho and Luis Montejano},
journal= {arXiv preprint arXiv:2212.05049},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2111.14280