@article{VMUMM_2024_4_a8,
author = {S. D. Degtiareva},
title = {Classification of three-dimensional linear {Nijenhuis} operators with functionally independent invariants},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {63--67},
year = {2024},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/}
}
TY - JOUR AU - S. D. Degtiareva TI - Classification of three-dimensional linear Nijenhuis operators with functionally independent invariants JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2024 SP - 63 EP - 67 IS - 4 UR - http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/ LA - ru ID - VMUMM_2024_4_a8 ER -
%0 Journal Article %A S. D. Degtiareva %T Classification of three-dimensional linear Nijenhuis operators with functionally independent invariants %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2024 %P 63-67 %N 4 %U http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/ %G ru %F VMUMM_2024_4_a8
S. D. Degtiareva. Classification of three-dimensional linear Nijenhuis operators with functionally independent invariants. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2024), pp. 63-67. http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/
[1] Konyaev A.Yu., “Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators”, Diff. Geom. and its Appl., 74 (2021) | MR | Zbl
[2] Burde D., de Graaf W., “Classification of Novikov algebras”, AAECC, 24 (2013), 1–15 | DOI | MR | Zbl
[3] Bolsinov A., Matveev V.S., Miranda E., Tabachnikov S., “Open problems, questions and challenges in finitedimen- sional integrable systems”, Phil. Trans. Roy. Soc. A, 376 (2018) | MR
[4] Winterhalder A., Linear Nijenhuis-tensors and the construction of integrable systems, 1997, arXiv: 9709008
[5] Bolsinov A.V., Konyaev A.Yu., Matveev V.S., “Nijenhuis geometry”, Adv. Math., 394 (2022) | DOI | MR | Zbl
[6] Korotkevich A.A., “Integriruemye gamiltonovy sistemy na algebrakh Li maloi razmernosti”, Matem. sb., 200:12 (2009), 3–40 | DOI | MR | Zbl