Mean Curvature Flow and Isoperimetric Inequalities - Brossura

Ritoré, Manuel

Brossura

ISBN 10: 303460212X ISBN 13: 9783034602129

Casa editrice: Birkhäuser, 2009

Riassunto

Geometric flows have many applications in physics and geometry, while isoperimetric inequalities can help in treating several aspects of convergence of these flows. Based on a series of lectures given by the authors, the material here deals with both subjects.

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Contenuti

The classical isoperimetric inequality in Euclidean space. Three different approaches.- The curve shortening flow and isoperimetric inequalities on surfaces.- $H^k$-flows and isoperimetric inequalities.- Estimates on the Willmore functional and isoperimetric inequalities.- Singularities in the volume-preserving mean curvature flow.- Bounds on the Heegaard genus of a hyperbolic manifold.- The isoperimetric profile for small volumes.- Local existence of flows driven by the second fundamental form and formation of singularities.- Invariance properties.- Singular behaviour of convex surfaces.- Convexity estimates.- Rescaling near a singularity.- Cylindrical and gradient estimates.- Mean curvature flow with surgeries.

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 303460212X
• ISBN 13: 9783034602129
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 124
• Redattore: Miquel Vicente, Porti Joan
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile