Jacobi algebras on flat manifolds

DOI10.1007/s10958-005-0406-6zbMath1147.53066OpenAlexW2327794289MaRDI QIDQ937965

Vyacheslav S. Kalnitsky

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0406-6

zbMATH Keywords

symmetriesflat manifoldsJacobi algebrassymmetries of vector fields

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

• Unnamed Item
• A group of diffeomorphisms which leave a vector field fixed
• Infinite dimensional Lie transformation groups
• The algebra of generalized Jacobi fields
• On groups of diffeomorphisms preserving non-degenerate analytic covector fields

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