Abstract
The aim of the paper is to present the integrable systems on partial isometries which are related to the restricted Grassmannian in finite-dimensional context. Some explicit solutions are obtained.
This research 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.” The authors would like to thank the Erwin Schrödinger Institute for its hospitality during the thematic program “Geometry beyond Riemann: Curvature and Rigidity.”
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Goliński, T., Tumpach, A.B. (2024). Integrable System on Partial Isometries: A Finite-Dimensional Picture. In: Kielanowski, P., Beltita, D., Dobrogowska, A., Goliński, T. (eds) Geometric Methods in Physics XL. WGMP 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-62407-0_5
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DOI: https://doi.org/10.1007/978-3-031-62407-0_5
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