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
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Language:English
Published: 2026
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