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Evolving convex hypersurfaces

Andrews, Ben

Description

The subject of this thesis is the deformation of hypersurfaces by means of geometrically defined parabolic equations. In the most general case, we consider hypersurfaces moving in a Riemannian manifold, with speed determined by a function of the Weingarten curvature. The majority of the thesis concerns the case of convex hypersurfaces. Section I of the thesis concerns evolution equations which generalise, in a certain sense, the well-known mean curvature flow : We consider the motion...[Show more]

CollectionsOpen Access Theses
Date published: 2012-08-30
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/9225

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