Geometry of the isotropic oscillator driven by the conformal mode

Abstract Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift. In this work, a modification of the Eisen...

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Bibliographic Details
Main Author: Anton Galajinsky
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5568-8