New examples of integrable conservative systems on S2 and the case of Goryachev-Chaplygin

Communications in Mathematical Physics

Volumn 207, Issue 3, 1999, Pages 641-663

  Selivanova, Elena N ^a,b  

^a MININ NIZHNY NOVGOROD STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033474973     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050740     Document Type: Article

References (14)

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5. 5. Goryachev, D.N.: New cases of integrability of Euler's dynamical equations (Russian). Varshavskie Universitet'skie Izvestiya, 3, 3-15 (1916)
6. 2. Preprint http://xxx.lanl.gov/math.DG/9801063 (1998), submitted
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12. 12. Kolokol'tsov, V.N. : Polynomial integrals of the geodesic flows on the two-dimensional manifolds. PhD thesis, Moscow State University, in Russian, 1984
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14. 2 possessing in integral of fourth degree in momenta. Annals of Global Analysis and Geometry, to appear