On minimality of determinantal varieties
Algebraic Geometry
2020-03-03 v1 Differential Geometry
Abstract
We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.
Keywords
Cite
@article{arxiv.2003.01049,
title = {On minimality of determinantal varieties},
author = {Khazhgali Kozhasov},
journal= {arXiv preprint arXiv:2003.01049},
year = {2020}
}