Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 104, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.104 (Mi sigma2106) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Geometry of Integrable Systems Related to the Restricted Grassmannian

Tomasz Golińskia, Alice Barbora Tumpachb

a University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland
b Institut CNRS Pauli, UMI CNRS 2842, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria
Full-text PDF (480 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2024.104
URL: https://www.emis.de/journals/SIGMA/2024/104/
Abstract: A hierarchy of differential equations on a Banach Lie–Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is presented.
Keywords: integrable systems, momentum map, Banach Lie–Poisson spaces, partial isometries, restricted Grassmannian, Magri method.
Funding agency Grant number
National Science Centre (Narodowe Centrum Nauki) 2020/01/Y/ST1/00123
Austrian Science Fund I 5015-N
This research of the authors was partially supported by joint National Science Centre, Poland (number 2020/01/Y/ST1/00123) and Fonds zur Förderung der wissenschaftlichen Forschung, Austria (number I 5015-N) grant “Banach Poisson–Lie groups and integrable systems”.
Received: August 1, 2024; in final form November 12, 2024; Published online November 22, 2024
Bibliographic databases:
Document Type: Article
MSC: 70H06, 53D20, 53D17, 46T05, 47B10
Language: English
Citation: Tomasz Goliński, Alice Barbora Tumpach, “Geometry of Integrable Systems Related to the Restricted Grassmannian”, SIGMA, 20 (2024), 104, 18 pp.
Citation in format AMSBIB
\Bibitem{GolTum24}
\by Tomasz~Goli\'nski, Alice~Barbora~Tumpach
\paper Geometry of Integrable Systems Related to the Restricted Grassmannian
\jour SIGMA
\yr 2024
\vol 20
\papernumber 104
\totalpages 18
\mathnet{http://mi.mathnet.ru/sigma2106}
\crossref{https://doi.org/10.3842/SIGMA.2024.104}
Linking options:
  • https://www.mathnet.ru/eng/sigma2106
  • https://www.mathnet.ru/eng/sigma/v20/p104
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025