Libermann, Paulette; Marle, Charles-Michel Symplectic geometry and analytical mechanics. Transl. from the French by Bertram Eugene Schwarzbach. (English) Zbl 0643.53002 Mathematics and its Applications, 35. Dordrecht etc.: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Group. XVI, 526 p.; Dfl. 210.00; $ 89.00; £73.50 (1987). For a review of the French original, see (Zbl 0643.53001 above. Cited in 5 ReviewsCited in 350 Documents MSC: 53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 53-02 Research exposition (monographs, survey articles) pertaining to differential geometry 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 74Axx Generalities, axiomatics, foundations of continuum mechanics of solids 70Hxx Hamiltonian and Lagrangian mechanics 53D50 Geometric quantization Keywords:Lie algebra; Poisson algebra; group action; cochain; cohomology; connection; contact structure; cotangent bundle; energy; foliation; Lagrange equations; Hamiltonian systems; semi-basic forms; symplectic structure; Maslov index; Legendre transformation Citations:Zbl 0643.53001 × Cite Format Result Cite Review PDF