A biinvariant metric on the group of symplectic diffeomorphisms and the equation \((\partial/\partial t)\Delta F = \{\Delta F,F\}\)

DOI10.1007/BF00969350zbMath0617.58010arXiv1402.4920OpenAlexW2246089328MaRDI QIDQ1822109

Nicolai Konstantinovich Smolentsev

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4920

zbMATH Keywords

Kähler manifoldEuler's equationsymplectic diffeomorphismILH-Lie group

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations on manifolds; differential operators (58J99)

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