Mathematics – Differential Geometry
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..177r&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani
Mathematics
Differential Geometry
2
Differential Geometry, Lie Groups, Transformations (Mathematics), Celestial Mechanics, Differential Equations, Hamiltonian Functions
Scientific paper
Classical definitions and results of differential geometry are used in studying properties of transformations depending on a small parameter, acting on differential systems. A one-parameter Lie group of transformations and the bracket of vector fields (Lie's derivative) are employed, as well as the symplectic manifold and transformations which keep a 2-form invariant. Emphasis is given to transport diffeomorphism and the canonical transformation.
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