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

V. V. Vedyushkina (Fokicheva); A. T. Fomenko

doi:10.1070/im8863

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

Izvestiya Mathematics ◽

10.1070/im8863 ◽

2019 ◽

Vol 83 (6) ◽

pp. 1137-1173 ◽

Cited By ~ 2

Author(s):

V. V. Vedyushkina (Fokicheva) ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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

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

Integrable Geodesic Flows on Two-dimensional Surfaces

Integrable Hamiltonian Systems ◽

10.1201/9780203643426.ch11 ◽

2004 ◽

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

Integrable Geodesic Flows on Two-Dimensional Surfaces

10.1007/978-1-4615-4307-7 ◽

2000 ◽

Cited By ~ 13

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Geodesic Flows ◽

Two Dimensional ◽

Integrable Geodesic Flows

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

Sbornik Mathematics ◽

10.1070/sm1998v189n10abeh000346 ◽

1998 ◽

Vol 189 (10) ◽

pp. 1441-1466 ◽

Cited By ~ 27

Author(s):

A V Bolsinov ◽

V S Matveev ◽

A T Fomenko

Keyword(s):

Riemannian Metrics ◽

Geodesic Flows ◽

Two Dimensional ◽

Global Geometry ◽

Integrable Geodesic Flows

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

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 ◽

Cited By ~ 2

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

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

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

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