Symplectic and complex foliations

"Symplectic (not necessarily Riemannian) foliations have a transversely symplectic structure for which many standard results of symplectic geometry have their transverse analogues: the dual bundle to the transverse bundle of a foliation is a manifold with a canonical symplectic foliation, the Darboux theorem may be established, basic (holonomy invariant) functions may be regarded as transverse Hamiltonian functions for which Hamiltonian ""vector fields"" are holonomy invariant classes of vector fields in the transverse bundle, and this structure induces a holonomy invariant Poisson bracket structure on the space of basic functions."

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Scofield, Paul David

Contributors dc:contributor

• Bishop, Richard L.

• Mathematics

Statement dc:rights

• Copyright 1990 Scofield, Paul David

Language dc:language

eng

Identifier

AAI9114405
(UMI)AAI9114405

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19590