The Bohlin variant of the Eisenhart lift; Journal of Geometry and Physics; Vol. 227

The Bohlin variant of the Eisenhart lift; Journal of Geometry and Physics; Vol. 227

Bibliographic Details
Parent link:	Journal of Geometry and Physics.— .— Amsterdam: Elsevier Science Publishing Company Inc. Vol. 227.— 2026.— Article number 105873, 8 p.
Main Author:	Galajinsky A. V. Anton Vladimirovich
Summary:	Inspired by the Bohlin transformation relating the planar harmonic oscillator to the Kepler problem, a variant of the Eisenhart lift is studied, in which a Lagrangian conservative dynamical system with d degrees of freedom is embedded into timelike geodesics of a conformally flat metric on a (d + 2)--dimensional space–time of the Lorentzian signature. The uplift is used to construct novel examples of conformally flat metrics admitting higher rank Killing tensors Текстовый файл AM_Agreement
Language:	English
Published:	2026
Subjects:	Eisenhart lift Bohlin transformation Conformally flat metrics Hidden symmetries электронный ресурс труды учёных ТПУ
Online Access:	https://doi.org/10.1016/j.marger.2026.207714
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=686616

Similar Items

Eisenhart lift for higher derivative systems; Physics Letters B; Vol. 765
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)

Rational Ruijsenaars-Schneider model with cosmological constant; Journal of High Energy Physics; Vol. 2025
by: Galajinsky A. V. Anton Vladimirovich
Published: (2025)

Conformal mechanics inspired by extremal black holes in d = 4; Journal of High Energy Physics; № 11
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)

N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets; Journal of High Energy Physics; Vol. 2017, № 9
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)

N= 1, 2, 3 ℓ-conformal Galilei superalgebras; Journal of High Energy Physics; Vol. 2021, iss. 8
by: Galajinsky A. V. Anton Vladimirovich
Published: (2021)

Spinning extensions of D(2, 1; α) superconformal mechanics; Journal of High Energy Physics; Vol. 2019, iss. 3
by: Galajinsky A. V. Anton Vladimirovich
Published: (2019)

N=4 superconformal Calogero models; Journal of High Energy Physics; Vol. 11
by: Galajinsky A. V. Anton Vladimirovich
Published: (2007)

Calogero models and nonlocal conformal transformations; Physics Letters B; Vol. 643
by: Galajinsky A. V. Anton Vladimirovich
Published: (2006)

Remarks on l-conformal extension of the Newton-Hooke algebra; Physics Letters B; Vol. 702, № 4
by: Galajinsky A. V. Anton Vladimirovich
Published: (2011)

Quadratic flat involutions as a basic method of obtaining curves in the systems of CAE; Bulletin of the Tomsk Polytechnic University; Vol. 310, № 1
by: Borovikov I. F.
Published: (2007)

The JKR-adhesive normal contact problem of axisymmetric rigid punches with a flat annular shape or concave profiles; Facta Universitatis. Series: Mechanical Engineering; Vol. 14, iss. 3
by: Willert E. Emanuel
Published: (2016)

Mathematical model of mechanical parts interconnected electric drives of head and lift in rock digger; Bulletin of the Tomsk Polytechnic University; Vol. 310, № 3
by: Zavyalov V. M. Valery Mikhailovich
Published: (2007)

N = 4 l-conformal Galilei superalgebra; Physics Letters B; Vol. 771
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)

Coupling-constant metamorphosis in SL(2,R)-invariant systems; Journal of Geometry and Physics; Vol. 168
by: Masterov I. V. Ivan Viktorovich
Published: (2021)

Conformal mechanics in Newton-Hooke spacetime; Nuclear Physics B; Vol. 832, № 3
by: Galajinsky A. V. Anton Vladimirovich
Published: (2010)

On two-dimensional integrable models with a cubic or quartic integral of motion; Journal of High Energy Physics; № 9
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)

Dynamical realizations of l-conformal Newton–Hooke group; Physics Letters B; Vol. 723, № 1–3
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)

Eisenhart lift in pseudo–Euclidean space and higher rank killing tensors; Physics of Particles and Nuclei Letters; Vol. 14, iss. 2
by: Galajinsky A. V. Anton Vladimirovich
Published: (2017)

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
by: Borisov A. V. Aleksey Vladimirovich
Published: (2005)

Подбор порога обнаружения дефектов трубы с целью устранения ошибок первого рода и уменьшения ошибок второго рода; Известия Томского политехнического университета [Известия ТПУ]. Промышленная кибернетика; Т. 2, № 1
by: Половников Н. К. Николай Константинович
Published: (2024)

Method of knowledge resources management "Strategy of Columbus"; Journal of Economics and Social Sciences; № 14
by: Galimova A. S.
Published: (2019)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 3
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2007)

A search for pair production of new light bosons decaying into muons in proton-proton collisions at 13  TeV; Physics Letters B; Vol. 796
Published: (2019)

Generalised point vortices on a plane; Physics Letters B; Vol. 829
by: Galajinsky A. V. Anton Vladimirovich
Published: (2022)

Ricci-flat spacetimes admitting higher rank Killing tensors; Physics Letters B; Vol. 744
by: Cariglia M. Marco
Published: (2015)

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
by: Shapovalov A. V. Aleksandr Vasilyevich
Published: (2005)

Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS4 space; Journal of High Energy Physics; Vol. 2019, iss. 8
Published: (2019)

Experimental Evaluation of an Innovative Non-Metallic Flat Plate Solar Collector; Energies; Vol. 14, iss. 19
Published: (2021)

Novel hybrid machine learning optimizer algorithms to prediction of fracture density by petrophysical data; Journal of Petroleum Exploration and Production; Vol. 11, iss. 12
Published: (2021)

Eisenhart lift of 2-dimensional mechanics; The European Physical Journal C; Vol. 79, iss. 4
by: Fordy A. P.
Published: (2019)

Cosmological aspects of the Eisenhart–Duval lift; The European Physical Journal C; Vol. 78, iss. 4
Published: (2018)

Геотектоническая модель глубинного строения Змеиногорского рудного района Рудного Алтая по данным геологической интерпретации комплекса геофизических съемок; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 335, № 8
Published: (2024)

Использование сетевого подхода при анализе психофизиологических наблюдений; Информационные технологии в науке, управлении, социальной сфере и медицине
by: Труфанов А. И.
Published: (2019)

Towards ℓ-conformal Galilei algebra via contraction of the conformal group; Nuclear Physics B; Vol. 998
by: Masterov I. V. Ivan Viktorovich
Published: (2024)

Критика «приспособленческой» деятельности церкви советской пропагандой 1960-1970-х гг.; Вестник Томского государственного университета. История; № 73
by: Сосковец Л. И. Любовь Ивановна
Published: (2021)

On conformal spectral gap estimates of the Dirichlet-Laplacian; Алгебра и анализ; Т. 31, № 2
by: Goldshtein V. A. Vladimir
Published: (2019)

Lowering the symmetry of pyrite crystals; SGEM. 16th International Multidisciplinary Scientific GeoConference; Bk. 1, vol. 1
by: Pshenichkin A. Ya. Anatoliy Yakovlevich
Published: (2016)

Программное обеспечение, используемое для определения признаков монтажа видеозаписей; Информационные технологии в науке, управлении, социальной сфере и медицине; Ч. 2
Published: (2018)

Перемещение теплового центра при несимметричном нагреве плоского тела; Известия Томского политехнического университета [Известия ТПУ]; Т. 323, № 4 : Энергетика
by: Видин Ю. В. Юрий Владимирович
Published: (2013)

A photonic hook based on deliberately breaking the spatial symmetries of a particle or irradiating radiation; Technical Physics Letters; Vol. 52, No. 5
by: Minin O. V. Oleg Vladilenovich
Published: (2026)