Tangentially symplectic foliations

Remsing, Claidiu Cristian. (1994) Tangentially symplectic foliations. PhD thesis, Rhodes University.

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Abstract

This thesis is concerned principally with tangential geometry and the applications of these concepts to tangentially symplectic foliations. The subject of tangential geometry is still at an elementary stage. The author here systematises current concepts and results and extends them, leading to the definition of vertical connections and vertical G-structures. Tangentially symplectic foliations are then characterised in terms of vertical symplectic forms. Some significant particular cases are discussed.

Item Type:Thesis (PhD)
Uncontrolled Keywords:Foliation Symplectic manifold Poisson manifold, Tangential geometry Symplectic structure Canonical manifold, Fibre bundle Poisson-Riemann Almost-isometric foliation
Subjects:Q Science > QA Mathematics
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
Supervisors:Frescura, Fabio and Lubczonok, Grzegorz
ID Code:3896
Deposited By: Mrs Carol Perold
Deposited On:30 Oct 2012 10:19
Last Modified:30 Oct 2012 10:19
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