Symmetric shift-invariant subspaces and harmonic maps
Functional Analysis
2019-12-06 v2 Complex Variables
Differential Geometry
Abstract
The Grassmannian model represents harmonic maps from Riemann surfaces by families of shift-invariant subspaces of a Hilbert space. We impose a natural symmetry condition on the shift-invariant subspaces that corresponds to considering an important class of harmonic maps into symmetric and -symmetric spaces. In particular, we obtain new general forms for such symmetric shift-invariant subspaces and for the corresponding extended solutions.
Cite
@article{arxiv.1908.01557,
title = {Symmetric shift-invariant subspaces and harmonic maps},
author = {Alexandru Aleman and Rui Pacheco and John C. Wood},
journal= {arXiv preprint arXiv:1908.01557},
year = {2019}
}
Comments
The original preprint `Harmonic maps and shift-invariant subspaces' was splitted in two. This is the second part. arXiv admin note: substantial text overlap with arXiv:1812.09379