Simply connectedness of spaces of tight frames
Functional Analysis
2026-05-19 v2 Differential Geometry
Abstract
Complex tight frames can be canonically viewed as elements of a complex Stiefel manifold. We present a class of spaces of such frames which are simply connected relative to the subspace topology. To this class belongs the space of finite unit-norm tight frames.
Cite
@article{arxiv.2508.02484,
title = {Simply connectedness of spaces of tight frames},
author = {Augustin-Liviu Mare},
journal= {arXiv preprint arXiv:2508.02484},
year = {2026}
}
Comments
11 pages; added Example 5.4