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Equivalent Integrable Metrics on the Sphere with Quartic Invariants. / Tsiganov, Andrey V.

In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 18, 94, 06.12.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Tsiganov, AV 2022, 'Equivalent Integrable Metrics on the Sphere with Quartic Invariants', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 18, 94. https://doi.org/10.3842/SIGMA.2022.094

APA

Tsiganov, A. V. (2022). Equivalent Integrable Metrics on the Sphere with Quartic Invariants. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 18, [94]. https://doi.org/10.3842/SIGMA.2022.094

Vancouver

Tsiganov AV. Equivalent Integrable Metrics on the Sphere with Quartic Invariants. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2022 Dec 6;18. 94. https://doi.org/10.3842/SIGMA.2022.094

Author

Tsiganov, Andrey V. / Equivalent Integrable Metrics on the Sphere with Quartic Invariants. In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2022 ; Vol. 18.

BibTeX

@article{685e7a2a433c406297887e90d6146ac0,
title = "Equivalent Integrable Metrics on the Sphere with Quartic Invariants",
abstract = "We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.",
keywords = "integrable metrics, canonical transformations, two-dimensional sphere",
author = "Tsiganov, {Andrey V.}",
year = "2022",
month = dec,
day = "6",
doi = "10.3842/SIGMA.2022.094",
language = "English",
volume = "18",
journal = "Symmetry, Integrability and Geometry - Methods and Applications",
issn = "1815-0659",
publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}

RIS

TY - JOUR

T1 - Equivalent Integrable Metrics on the Sphere with Quartic Invariants

AU - Tsiganov, Andrey V.

PY - 2022/12/6

Y1 - 2022/12/6

N2 - We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.

AB - We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.

KW - integrable metrics

KW - canonical transformations

KW - two-dimensional sphere

U2 - 10.3842/SIGMA.2022.094

DO - 10.3842/SIGMA.2022.094

M3 - Article

VL - 18

JO - Symmetry, Integrability and Geometry - Methods and Applications

JF - Symmetry, Integrability and Geometry - Methods and Applications

SN - 1815-0659

M1 - 94

ER -

ID: 101578959