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Volumn 131, Issue 2, 2003, Pages 607-618

The Kowalevski top as a reduction of a hamiltonian system on sp(4.ℝ)*

Author keywords

Heavy top; Kowalevski top; Lax pair representation

Indexed keywords


EID: 0037321355     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06541-3     Document Type: Conference Paper
Times cited : (4)

References (11)
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  • 2
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    • (1989) Commun. Math. Phys. , vol.122 , pp. 321-354
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  • 4
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    • Lectures on integration of the equation of motion of a rigid body about a fixed point
    • Jerusalem, MR 15e:904
    • V.V. Golubev, Lectures on integration of the equation of motion of a rigid body about a fixed point. Israel program for scientific translations, Jerusalem, (1960). MR 15e:904
    • (1960) Israel Program for Scientific Translations
    • Golubev, V.V.1
  • 5
    • 0000889453 scopus 로고
    • Linearizing flows and a cohomological interpretation of Lax equations
    • MR 86f:58076
    • P.A. Griffiths. Linearizing flows and a cohomological interpretation of Lax equations. Amer. J. Math. 107 (1985), 1445-1483. MR 86f:58076
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    • Griffiths, P.A.1
  • 6
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    • A Lax-pair for Kowalevski's top
    • MR 90a:58068
    • L. Haine, E. Horozov, A Lax-pair for Kowalevski's Top. Physica 29D (1987), 173-180. MR 90a:58068
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    • Haine, L.1    Horozov, E.2
  • 7
    • 0033235418 scopus 로고    scopus 로고
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    • MR 2001i:37092
    • V. Jurdjevic, Integrable Hamiltonian Systems on Lie Groups: Kowalevski type. Annals of Math. 150 (1999), 605-644. MR 2001i:37092
    • (1999) Annals of Math , vol.150 , pp. 605-644
    • Jurdjevic, V.1
  • 8
    • 34250579023 scopus 로고
    • Sur le probleme de la rotation d'un corps solide autour d'un point fixe
    • S. Kowalevski, Sur le probleme de la rotation d'un corps solide autour d'un point fixe. Acta Math. 12 (1889), 177-232.
    • (1889) Acta Math. , vol.12 , pp. 177-232
    • Kowalevski, S.1
  • 9
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  • 10
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    • I.D. Marshall, The Kowalevski Top: its r-Matrix Interpretation and Bihamiltonian Formulation. Commun. Math. Phys. 191 (1998), 723-734. MR 99b:58119
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  • 11
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.