Riemannian metrics in infinite dimensional self-adjoint operator groups
Differential Geometry
2015-09-07 v1
Abstract
The aim of this paper is the study of the geodesic distance in operator groups with several Riemannian metrics. More precisely we study the geodesic distance in self-adjoint operator groups with the left invariant Riemannian metric induced by the infinite trace and extend known results about the completeness of some classical Banach-Lie groups to this general class.
Cite
@article{arxiv.1509.01503,
title = {Riemannian metrics in infinite dimensional self-adjoint operator groups},
author = {Manuel López Galván},
journal= {arXiv preprint arXiv:1509.01503},
year = {2015}
}
Comments
13 pages