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401-4536-08L 8 Credits DR , MSC D-USYS , D-BAUG , D-MAVT , D-INFK , D-MTEC , D-MATH , D-BIOL , D-ERDW , D-GESS , D-ITET , D-CHAB

Mean Curvature Flow

Lecturers & Examiners: Prof. Dr. Tom Ilmanen
VVZ CR n/a

Last Updated: 2026-02-05 15:29:50

Abstract

The mean curvature flow is a parabolic evolution equation for submanifolds M_t of R^n. Called the "heat equation for submanifolds", the equation reduces the area of the submanifold, and makes it evolve toward a minimal surface. The equation arises in physical problems with surface tension, and has many applications in differential geometry.

Content

Topics: singularity formation, evolution of quantities, self-similar solutions, tangent flows, topological change, weak solutions, partial regularity.

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 20 minutes

Course Components

Type Title Time & Place Hours
lecture Mean Curvature Flow
  • Mon 15:15-17:00 (HG E 21)
  • Wed 13:15-15:00 (HG E 22)
4 h weekly

Offered In