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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 3, Pages 487–502
DOI: https://doi.org/10.4213/tmf9487 (Mi tmf9487) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Haantjes algebras of the Lagrange top

G. Tondo

Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, Trieste, Italy
Full-text PDF (542 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9487
Abstract: We study a symplectic–Haantjes manifold and a Poisson–Haantjes manifold for the Lagrange top and compute a set of Darboux–Haantjes coordinates. Such coordinates are separation variables for the associated Hamilton–Jacobi equation.
Keywords: Haantjes algebra, Lagrange top.
Funding agency Grant number
Istituto Nazionale di Alta Matematica "Francesco Severi"
The author is a member of the National Group for Mathematical Physics in the National Institute of High Mathematics “F. Severy"” (INDAM), Rome, Italy.
Received: 14.10.2017
Revised: 30.11.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 3, Pages 1366–1379
DOI: https://doi.org/10.1134/S004057791809009X
Bibliographic databases:
Document Type: Article
MSC: 58F07; 70H20
Language: Russian
Citation: G. Tondo, “Haantjes algebras of the Lagrange top”, TMF, 196:3 (2018), 487–502; Theoret. and Math. Phys., 196:3 (2018), 1366–1379
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9487
  • https://doi.org/10.4213/tmf9487
  • https://www.mathnet.ru/eng/tmf/v196/i3/p487
    • This publication is cited in the following 6 articles:
    1. P. Tempesta, G. Tondo, The Diverse World of PDEs, Contemporary Mathematics, 789, 2023, 209  crossref
    2. D. Reyes, P. Tempesta, G. Tondo, “Generalized Nijenhuis torsions and block-diagonalization of operator fields”, J. Nonlinear Sci., 33:2 (2023), 35  crossref  mathscinet
    3. D. Reyes , P. Tempesta, G. Tondo, “Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry”, Commun. Nonlinear Sci. Numer. Simul., 104 (2022), 106021  crossref  mathscinet  isi  scopus
    4. P. Tempesta, G. Tondo, “Higher Haantjes brackets and integrability”, Commun. Math. Phys., 389:3 (2022), 1647–1671  crossref  mathscinet  isi
    5. P. Tempesta, G. Tondo, “Haantjes algebras of classical integrable systems”, Ann. Mat. Pura Appl., 201:1 (2022), 57–90  crossref  mathscinet  isi
    6. P. Tempesta, G. Tondo, “Haantjes algebras and diagonalization”, J. Geom. Phys., 160 (2021), 103968  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:312
    Full-text PDF :102
    References:52
    First page:11
     
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