On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity

DOI10.3836/TJM/1270213867zbMath0537.58005OpenAlexW2080170218WikidataQ115219780 ScholiaQ115219780MaRDI QIDQ792666

Osamu Kobayashi, Akira Yoshioka, Hideki Omori, Yoshiaki Maeda

Publication date: 1983

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270213867

zbMATH Keywords

Poisson bracketphase spacesymplectic manifoldHamiltonian vector fields

Mathematics Subject Classification ID

General relativity (83C99) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Group structures and generalizations on infinite-dimensional manifolds (58B25) Groups and semigroups of nonlinear operators (58D07)

Related Items (4)

On \(\mathrm{Diff}(M)\)-pseudo-differential operators and the geometry of non linear Grassmannians ⋮ Theory of infinite dimensional Lie groups and its applications ⋮ Manifolds of Mappings for Continuum Mechanics ⋮ Towards a Lie theory of locally convex groups

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