标题： 非齐次谐振子的几何特性驱动的共形模式 显示英文标题

标题： Geometry of the isotropic oscillator driven by the conformal mode

摘要： 拉格朗日保守系统的几何化通常意味着将其运动方程重新表述为适当选择的弯曲时空中的测地线方程。传统方法包括雅可比度规和爱森哈特提升。本文提出了一种爱森哈特提升的修改版本，用于描述由一维共形模式驱动的任意维度各向同性振荡器。 显示英文摘要

摘要： 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 Eisenhart lift is proposed which describes the isotropic oscillator in arbitrary dimension driven by the one-dimensional conformal mode.