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...
שמור ב:
| Auteurs principaux: | , |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| מהדורה: | 1st ed. 2010. |
| סדרה: | Advanced Courses in Mathematics / CRM Barcelona
|
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
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 |
תוכן הענינים:
- 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.
- 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