Liouville classification of integrable geodesic flows in a potential field on two-dimensional manifolds of revolution: the torus and the Klein bottle

Sbornik Mathematics ◽

10.1070/sm9009 ◽

2018 ◽

Vol 209 (11) ◽

pp. 1644-1676

Author(s):

D. S. Timonina

Keyword(s):

Potential Field ◽

Klein Bottle ◽

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surface

Integrable Geodesic Flows on Two-Dimensional Surfaces ◽

10.1007/978-1-4615-4307-7_7 ◽

2000 ◽

pp. 167-222

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows ◽

Dimensional Surface

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Liouville classification of integrable geodesic flows on a torus of revolution in a potential field

Moscow University Mathematics Bulletin ◽

10.3103/s0027132217030056 ◽

2017 ◽

Vol 72 (3) ◽

pp. 121-128 ◽

Author(s):

D. S. Timonina

Keyword(s):

Potential Field ◽

Geodesic Flows ◽

Integrable Geodesic Flows

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Topological classification of integrable geodesic flows in a potential field on the torus of revolution

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080217060130 ◽

2017 ◽

Vol 38 (6) ◽

pp. 1108-1120 ◽

Author(s):

D. S. Timonina

Keyword(s):

Potential Field ◽

Topological Classification ◽

Geodesic Flows ◽

Integrable Geodesic Flows

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Topological classification of integrable geodesic flows on orientable two-dimensional Riemannian manifolds with additional integral depending on momenta linearly or quadratically

Functional Analysis and Its Applications ◽

10.1007/bf01087536 ◽

1993 ◽

Vol 27 (3) ◽

pp. 186-196 ◽

Author(s):

Nguen T'en Zung ◽

L. S. Polyakova ◽

E. N. Selivanova

Keyword(s):

Riemannian Manifolds ◽

Topological Classification ◽

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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Trajectory Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces

Integrable Geodesic Flows on Two-Dimensional Surfaces ◽

10.1007/978-1-4615-4307-7_8 ◽

2000 ◽

pp. 223-253

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Trajectory Classification ◽

Integrable Geodesic Flows

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Orbital Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces

Integrable Hamiltonian Systems ◽

10.1201/9780203643426.ch13 ◽

2004 ◽

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces

Integrable Hamiltonian Systems ◽

10.1201/9780203643426.ch12 ◽

2004 ◽

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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A topological classification of integrable geodesic flows on the two-dimensional sphere with an additional integral quadratic in the momenta

Journal of Nonlinear Science ◽

10.1007/bf02429860 ◽

1993 ◽

Vol 3 (1) ◽

pp. 85-108 ◽

Author(s):

T. Z. Nguyen ◽

L. S. Polyakova

Keyword(s):

Topological Classification ◽

Geodesic Flows ◽

Dimensional Sphere ◽

Two Dimensional ◽

Integrable Geodesic Flows

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Topological classification of quadratic-integrable geodesic flows on a two-dimensional torus

Russian Mathematical Surveys ◽

10.1070/rm1995v050n01abeh001668 ◽

1995 ◽

Vol 50 (1) ◽

pp. 200-201 ◽

Author(s):

V V Kalashnikov

Keyword(s):

Topological Classification ◽

Geodesic Flows ◽

Two Dimensional ◽

Dimensional Torus ◽

Integrable Geodesic Flows

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Integrable Geodesic Flows on Two-Dimensional Surfaces

Integrable Geodesic Flows on Two-Dimensional Surfaces ◽

10.1007/978-1-4615-4307-7_6 ◽

2000 ◽

pp. 109-166

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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