Evolving convex hypersurfaces
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]
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