Mean curvature flow and isoperimetric inequalities
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 pro...
Zapisane w:
| Główni autorzy: | , |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2010. |
| Seria: | Advanced Courses in Mathematics / CRM Barcelona
|
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mean curvature flow and isoperimetric inequalities, Manuel Ritoré, Carlo Sinestrari, 2010, Basel, Birkhäuser, 1 vol. (VIII-113 p.), Advanced courses in mathematics / CRM Barcelona, 978-3-03-460212-9 • Mean Curvature Flow and Isoperimetric Inequalities, Texte imprimé, 9783034602143 • Mean curvature flow and isoperimetric inequalities, Manuel Ritoré, Carlo Sinestrari, 2010, Basel, Birkhäuser, 1 vol. (VIII-113 p.), Advanced courses in mathematics / CRM Barcelona, 978-3-03-460212-9 |
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| 245 | 1 | 0 | |a Mean curvature flow and isoperimetric inequalities |c by Manuel Ritoré, Carlo Sinestrari. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
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| 490 | 0 | |a Advanced Courses in Mathematics / CRM Barcelona |x 2297-0312 | |
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| 505 | 1 | |a Formation of Singularities in the Mean Curvature Flow Geometry of hypersurfaces Examples Local existence and formation of singularities Invariance properties Singular behaviour of convex surfaces Convexity estimates Rescaling near a singularity Huisken's monotonicity formula Cylindrical and gradient estimates Mean curvature flow with surgeries Geometric Flows, Isoperimetric Inequalities and Hyperbolic Geometry The classical isoperimetric inequality in Euclidean space Surfaces Higher dimensions Some applications to hyperbolic geometry. | |
| 505 | 0 | |a Formation of Singularities in the Mean Curvature Flow -- Geometry of hypersurfaces -- Examples -- Local existence and formation of singularities -- Invariance properties -- Singular behaviour of convex surfaces -- Convexity estimates -- Rescaling near a singularity -- Huisken s monotonicity formula -- Cylindrical and gradient estimates -- Mean curvature flow with surgeries -- Geometric Flows, Isoperimetric Inequalities and Hyperbolic Geometry -- The classical isoperimetric inequality in Euclidean space -- Surfaces -- Higher dimensions -- Some applications to hyperbolic geometry | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Équations d'évolution | ||
| 650 | |a Flots (dynamique différentiable) | ||
| 650 | |a Inégalités isopérimétriques | ||
| 700 | 1 | |a Sinestrari, Carlo, |d 1970- |4 aut | |
| 776 | 0 | |0 139272887 |t Mean curvature flow and isoperimetric inequalities |f Manuel Ritoré, Carlo Sinestrari |d 2010 |c Basel |n Birkhäuser |p 1 vol. (VIII-113 p.) |s Advanced courses in mathematics / CRM Barcelona |z 978-3-03-460212-9 | |
| 776 | 0 | |t Mean Curvature Flow and Isoperimetric Inequalities |b Texte imprimé |z 9783034602143 | |
| 776 | 0 | |0 139272887 |t Mean curvature flow and isoperimetric inequalities |f Manuel Ritoré, Carlo Sinestrari |d 2010 |c Basel |n Birkhäuser |p 1 vol. (VIII-113 p.) |s Advanced courses in mathematics / CRM Barcelona |z 978-3-03-460212-9 | |
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