Lectures on Mean Curvature Flows (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
150
Utgivningsdatum
2002-11-01
Förlag
American Mathematical Society
Illustrationer
references, index
Dimensioner
260 x 177 x 12 mm
Vikt
476 g
Antal komponenter
1
ISBN
9780821833117
Lectures on Mean Curvature Flows (inbunden)

Lectures on Mean Curvature Flows

Inbunden Engelska, 2002-11-01
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Mean curvature flow is a term used to describe the evolution of a hypersurface whose normal velocity is given by the mean curvature. This book gives a comprehensive account of fundamental results on singularities and the asymptotic behaviour of mean curvature flows in higher dimensions.
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Innehållsförteckning

The curve shortening flow for convex curves; The short time existence and the evolution equation of curvatures; Contraction of convex hypersurfaces; Monotonicity and self-similar solutions; Evolution of embedded curves or surfaces (I); Evolution of embedded curves and surfaces (II); Evolution of embedded curves and surfaces (III); Convexity estimates for mean convex surfaces; Li-Yau estimates and type II singularities; The mean curvature flow in Riemannian manifolds; Contracting convex hypersurfaces in Riemannian manifolds; Definition of center of mass for isolated gravitating systems; References; Index