Nonholonomic Noether theorem and reduction of symmetries

DOI10.1016/S0034-4877(98)80002-5zbMath0947.70013OpenAlexW2096404516MaRDI QIDQ1289579

Jędrzej Śniatycki

Publication date: 29 June 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80002-5

zbMATH Keywords

conservation lawssymplectic formphase spaceNoether theoremLegendre transformationgroup of symmetriesnonlinear nonholonomic constraintsnonholonomic Noether theoremconnected normal subgroupreduction of symmetriestangent bundle space

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)

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