Hofer's metric in compact Lie groups
DOI10.4171/ggd/721arXiv1907.09843OpenAlexW2963743647MaRDI QIDQ6062648
Gabriel Larotonda, Martin Miglioli
Publication date: 6 November 2023
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09843
geodesicscoadjoint orbitsmoment mapcompact Lie groupHofer's metricHamiltonian actionmoment polytopesymplectic energycommuting HamiltoniansFinsler length structuregeneralized Hofer norms
Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Geodesics in global differential geometry (53C22) Momentum maps; symplectic reduction (53D20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
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