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De fide historica commentarius

Eisenhart, Johan.
core  

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 lift for higher derivative systems [PDF]

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2017
The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric.
Ivan Masterov, Anton Galajinsky
exaly   +2 more sources

Classical and quantum solutions in scalar field cosmology via the Eisenhart lift and linearization [PDF]

Physics of the Dark Universe
This study introduces a novel approach for solving the cosmological field equations within scalar field theory by employing the Eisenhart lift. The field equations are reformulated as a system of geodesic equations for the Eisenhart metric.
Andronikos Paliathanasis
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
Zurab Silagadze, Abhijit Sen
exaly  

Eisenhart lift of Koopman-von Neumann mechanics

Journal of Geometry and Physics, 2023
Zurab Silagadze, Abhijit Sen
exaly  

Eisenhart-Duval lift for minisuperspace quantum cosmology

Physical Review D, 2021
Kiyoshi Shiraishi, Nahomi Kan
exaly