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The General Solution of the Eisenhart Equation and Projective Motions of Pseudo-Riemannian Manifolds

Mathematical Notes, 2020
The solution of the Eisenhart equation for pseudo-Riemannian manifolds (Mn,g) of arbitrary signature and any dimension is obtained. Thereby, pseudo-Riemannian h-spaces (i.e., spaces admitting nontrivial solutions h ≠ cg of the Eisenhart equation) of all possible types determined by the Segre characteristic χ of the bilinear form h are found.
A V Aminova
exaly   +3 more sources

Eisenhart lifts and symmetries of time-dependent systems

Annals of Physics, 2016
International audienceCertain dissipative systems, such as Caldirola and Kannai's damped simple harmonic oscillator, may be modelled by time-dependent Lagrangian and hence time dependent Hamiltonian systems with $n$ degrees of freedom.
Marco Cariglia, C Duval, G W Gibbons
exaly   +2 more sources

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Lie algebras of projective motions of five-dimensional pseudo-Riemannian spaces. II. Integration of the Eisenhart equations

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Asya Vasilyevna Aminova, Dzhamoliddin Rakhmonovich Khakimov   +1 more
openaire   +1 more source

Equivalence of a harmonic oscillator to a free particle and Eisenhart lift

Annals of Physics, 2021
Abhijit Sen, Z K Silagadze
exaly  

Eisenhart lift of Koopman-von Neumann mechanics

Journal of Geometry and Physics, 2023
Abhijit Sen, Z K Silagadze
exaly  

Eisenhart-Duval lift for minisuperspace quantum cosmology

Physical Review D, 2021
Nahomi Kan, Kiyoshi Shiraishi
exaly  

Eisenhart lift for higher derivative systems

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2017
Anton Galajinsky, Ivan Masterov
exaly  

On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces

Mathematics, 2019
Miloš Z Petrović, Mica S Stanković, Patrik Peska   +2 more
exaly  

Hypothesis Testing in Linear Models (Eisenhart Model I)

American Statistician, 1974
Michael H Kutner
exaly   +2 more sources

Eisenhart lift for Euler’s problem of two fixed centers

Applied Mathematics and Computation, 2019
Hai Zhang, Qing-Yi Hao, Hai Zhang
exaly