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Rational integrals of 2-dimensional geodesic flows: New examples. / Agapov, Sergei; Shubin, Vladislav.

в: Journal of Geometry and Physics, Том 170, 104389, 12.2021.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Agapov S, Shubin V. Rational integrals of 2-dimensional geodesic flows: New examples. Journal of Geometry and Physics. 2021 дек.;170:104389. doi: 10.1016/j.geomphys.2021.104389

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Agapov, Sergei ; Shubin, Vladislav. / Rational integrals of 2-dimensional geodesic flows: New examples. в: Journal of Geometry and Physics. 2021 ; Том 170.

BibTeX

@article{f1882c7a65554e0f947200a0928ce7a8,
title = "Rational integrals of 2-dimensional geodesic flows: New examples",
abstract = "This paper is devoted to searching for Riemannian metrics on 2-surfaces whose geodesic flows admit a rational in momenta first integral with a linear numerator and denominator. The explicit examples of metrics and such integrals are constructed. Few superintegrable systems are found having both a polynomial and a rational integrals which are functionally independent of the Hamiltonian.",
keywords = "Bessel functions, Geodesic flow, Rational in momenta first integral",
author = "Sergei Agapov and Vladislav Shubin",
note = "Funding Information: Both authors are supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation . Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",
year = "2021",
month = dec,
doi = "10.1016/j.geomphys.2021.104389",
language = "English",
volume = "170",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Rational integrals of 2-dimensional geodesic flows: New examples

AU - Agapov, Sergei

AU - Shubin, Vladislav

N1 - Funding Information: Both authors are supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation . Publisher Copyright: © 2021 Elsevier B.V.

PY - 2021/12

Y1 - 2021/12

N2 - This paper is devoted to searching for Riemannian metrics on 2-surfaces whose geodesic flows admit a rational in momenta first integral with a linear numerator and denominator. The explicit examples of metrics and such integrals are constructed. Few superintegrable systems are found having both a polynomial and a rational integrals which are functionally independent of the Hamiltonian.

AB - This paper is devoted to searching for Riemannian metrics on 2-surfaces whose geodesic flows admit a rational in momenta first integral with a linear numerator and denominator. The explicit examples of metrics and such integrals are constructed. Few superintegrable systems are found having both a polynomial and a rational integrals which are functionally independent of the Hamiltonian.

KW - Bessel functions

KW - Geodesic flow

KW - Rational in momenta first integral

UR - http://www.scopus.com/inward/record.url?scp=85116478201&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2021.104389

DO - 10.1016/j.geomphys.2021.104389

M3 - Article

AN - SCOPUS:85116478201

VL - 170

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

M1 - 104389

ER -

ID: 34376533