Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry

Sbornik Mathematics ◽

10.1070/sm1998v189n10abeh000346 ◽

1998 ◽

Vol 189 (10) ◽

pp. 1441-1466 ◽

Author(s):

A V Bolsinov ◽

V S Matveev ◽

A T Fomenko

Keyword(s):

Riemannian Metrics ◽

Geodesic Flows ◽

Two Dimensional ◽

Global Geometry ◽

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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Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards

Izvestiya Mathematics ◽

10.1070/im8863 ◽

2019 ◽

Vol 83 (6) ◽

pp. 1137-1173 ◽

Author(s):

V. V. Vedyushkina (Fokicheva) ◽

A. T. Fomenko

Keyword(s):

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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Integrable Geodesic Flows on Two-dimensional Surfaces

Integrable Hamiltonian Systems ◽

10.1201/9780203643426.ch11 ◽

2004 ◽

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

Download Full-text

Integrable Geodesic Flows on Two-Dimensional Surfaces

10.1007/978-1-4615-4307-7 ◽

2000 ◽

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06410107 ◽

2012 ◽

Vol 64 (1) ◽

pp. 107-152 ◽

Author(s):

Vladimir S. MATVEEV

Keyword(s):

Riemannian Metrics ◽

Geodesic Flows ◽

Two Dimensional ◽

Closed Surfaces

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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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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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Integrable Geodesic Flows on Two-dimensional Surfaces

Integrable Hamiltonian Systems ◽

10.1201/9780203643426-15 ◽

2004 ◽

pp. 425-492

Keyword(s):

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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