Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu

• Autore: Marsden Jerrold E.
• Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1990; ©1990
• Descrizione fisica: 1 online resource (118 p.)
• Disciplina: 531
• Soggetto topico: Mechanics, Analytic; Symmetry groups; Holonomy groups
• Persona (resp. second.): MontgomeryR <1956-> (Richard); RatiuT
• Note generali: "November 1990, Volume 88, Number 436 (first of 2 numbers)"--Cover.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection ; integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References""
• Titolo autorizzato: Reduction, symmetry, and phases in mechanics
• ISBN: 1-4704-0859-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910817124103321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 88, Number 436.