Symmetric shift-invariant subspaces and harmonic maps
(2021) In Mathematische Zeitschrift 299(1-2). p.183-202- 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 k-symmetric spaces. Using an appropriate description of such symmetric shift-invariant subspaces we obtain new results for the corresponding extended solutions, including how to obtain primitive harmonic maps from certain harmonic maps into the unitary group.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/c21e2b35-fed5-4edc-b613-369085f846b8
- author
- Aleman, Alexandru LU ; Pacheco, Rui and Wood, John C.
- organization
- publishing date
- 2021-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Flag manifolds, Harmonic maps, Primitive maps, Riemann surfaces, Shift-invariant subspaces
- in
- Mathematische Zeitschrift
- volume
- 299
- issue
- 1-2
- pages
- 20 pages
- publisher
- Springer
- external identifiers
-
- scopus:85114826133
- ISSN
- 0025-5874
- DOI
- 10.1007/s00209-020-02680-9
- language
- English
- LU publication?
- yes
- id
- c21e2b35-fed5-4edc-b613-369085f846b8
- date added to LUP
- 2021-10-08 14:09:11
- date last changed
- 2022-04-27 04:32:16
@article{c21e2b35-fed5-4edc-b613-369085f846b8, abstract = {{<p>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 k-symmetric spaces. Using an appropriate description of such symmetric shift-invariant subspaces we obtain new results for the corresponding extended solutions, including how to obtain primitive harmonic maps from certain harmonic maps into the unitary group.</p>}}, author = {{Aleman, Alexandru and Pacheco, Rui and Wood, John C.}}, issn = {{0025-5874}}, keywords = {{Flag manifolds; Harmonic maps; Primitive maps; Riemann surfaces; Shift-invariant subspaces}}, language = {{eng}}, number = {{1-2}}, pages = {{183--202}}, publisher = {{Springer}}, series = {{Mathematische Zeitschrift}}, title = {{Symmetric shift-invariant subspaces and harmonic maps}}, url = {{http://dx.doi.org/10.1007/s00209-020-02680-9}}, doi = {{10.1007/s00209-020-02680-9}}, volume = {{299}}, year = {{2021}}, }