Mean Curvature Flow and Isoperimetric Inequalities

• Main Authors: Ritoré, Manuel (Author), Sinestrari, Carlo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2010.
• Series: Advanced Courses in Mathematics — CRM Barcelona, Centre de Recerca Matemàtica
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Differential Geometry.; Global Analysis and Analysis on Manifolds.

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...