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...

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