The Bohlin variant of the Eisenhart lift; Journal of Geometry and Physics; Vol. 227
| Parent link: | Journal of Geometry and Physics.— .— Amsterdam: Elsevier Science Publishing Company Inc. Vol. 227.— 2026.— Article number 105873, 8 p. |
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| Main Author: | |
| 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
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| Subjects: | |
| 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 |
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| 330 | |a 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 | ||
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| 461 | 1 | |t Journal of Geometry and Physics |c Amsterdam |n Elsevier Science Publishing Company Inc. | |
| 463 | 1 | |t Vol. 227 |v Article number 105873, 8 p. |d 2026 | |
| 610 | 1 | |a Eisenhart lift | |
| 610 | 1 | |a Bohlin transformation | |
| 610 | 1 | |a Conformally flat metrics | |
| 610 | 1 | |a Hidden symmetries | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |9 12894 | |
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