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Aspects of overdetermined systems of partial differential equations in projective and conformal geometry

Randall, Matthew

Description

This thesis discusses aspects of overdetermined systems of partial differential equations (PDEs) in projective and conformal geometry. The first part deals with projective differential geometry. A projective surface is a 2-dimensional smooth manifold equipped with a projective structure i.e. a class of torsion-free affine connections that have the same geodesics as unparameterised curves. Given any projective surface we can ask whether it admits a torsion-free affine connection (in its...[Show more]

CollectionsOpen Access Theses
Date published: 2014-01-29
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/11278

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