Abstract mechanical connection and abelian reconstruction for almost Kähler manifolds

When the phase space P of a Hamiltonian G-system (P,ω,G,J,H) has an almost Kähler structure a preferred connection, called abstract mechanical connection, can be defined by declaring horizontal spaces at each point to be metric orthogonal to the tangent to the group orbit. Explicit formulas for...

Full description

Bibliographic Details
Main Authors: Sergey Pekarsky, Jerrold E. Marsden
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X01000043