Constructing a complete integral of the Hamilton-Jacobi equation on pseudo-Riemannian spaces with simply transitive groups of motions

DOI10.1007/s11040-021-09385-3zbMath1479.35854arXiv1908.10035OpenAlexW2970031254WikidataQ115381792 ScholiaQ115381792MaRDI QIDQ830523

Alexey A. Magazev

Publication date: 7 May 2021

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10035

zbMATH Keywords

Lie groupcoadjoint orbitDarboux coordinatesgeodesic Hamilton-Jacobi equationsimply transitive action

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Hamilton-Jacobi equations in mechanics (70H20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (3)

Algebras of integrals of motion for the Hamilton–Jacobi and Klein–Gordon–Fock equations in spacetime with four-parameter groups of motions in the presence of an external electromagnetic field ⋮ On local extension of the group of parallel translations in three-dimensional space ⋮ Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions

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