Articoli correlati a Mean Curvature Flow and Isoperimetric Inequalities
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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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.
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- EditoreBirkhäuser
- Data di pubblicazione2009
- ISBN 10 303460212X
- ISBN 13 9783034602129
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero edizione1
- Numero di pagine124
- RedattoreMiquel Vicente, Porti Joan
- Contatto del produttorenon disponibile
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Mean Curvature Flow and Isoperimetric Inequalities
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique book which examines advances on isoperimetric problems related with geometric flows and suggests some new directions in the interplay between the two subjects.First book to give an introduction to the mean curvature flow with surgery starti. Codice articolo 4317888
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Mean Curvature Flow and Isoperimetric Inequalities
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Birkhäuser Basel Okt 2009, 2009
ISBN 10: 303460212X
ISBN 13: 9783034602129
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds. 124 pp. Englisch. Codice articolo 9783034602129
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Mean Curvature Flow and Isoperimetric Inequalities
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds. Codice articolo 9783034602129
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Mean Curvature Flow and Isoperimetric Inequalities
Editore:
Birkhäuser Basel, Springer Basel Okt 2009, 2009
ISBN 10: 303460212X
ISBN 13: 9783034602129
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 124 pp. Englisch. Codice articolo 9783034602129
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Mean Curvature Flow and Isoperimetric Inequalities (Advanced Courses in Mathematics - CRM Barcelona)
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Mean Curvature Flow and Isoperimetric Inequalities (Advanced Courses in Mathematics - CRM Barcelona)
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