ABSTRACT

Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those results in a comprehensive, rigorous, and self-contained account of the fundamental results.

The a

chapter 1|26 pages

Basic Results

chapter 5|22 pages

The Non-convex Curve Shortening Flow

chapter 6|36 pages

A Class of Non-convex Anisotropic Flows

chapter 7|24 pages

Embedded Closed Geodesics on Surfaces