02759nam 2200601 450 991078887480332120170918220804.01-4704-0859-7(CKB)3360000000464620(EBL)3113996(SSID)ssj0000889179(PQKBManifestationID)11488395(PQKBTitleCode)TC0000889179(PQKBWorkID)10875537(PQKB)11550340(MiAaPQ)EBC3113996(RPAM)4359493(PPN)195413199(EXLCZ)99336000000046462020140908h19901990 uy 0engur|n|---|||||txtccrReduction, symmetry, and phases in mechanics /J. E. Marsden, R. Montgomery, and T. RatiuProvidence, Rhode Island, United States :American Mathematical Society,1990.©19901 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 88, Number 436"November 1990, Volume 88, Number 436 (first of 2 numbers)"--Cover.0-8218-2498-8 Includes bibliographical references.""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 connectionintegrable 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""Memoirs of the American Mathematical Society ;Volume 88, Number 436.Mechanics, AnalyticSymmetry groupsHolonomy groupsMechanics, Analytic.Symmetry groups.Holonomy groups.531Marsden Jerrold E.7790Montgomery R(Richard),1956-Ratiu T.MiAaPQMiAaPQMiAaPQBOOK9910788874803321Reduction, symmetry, and phases in mechanics3705618UNINA