Articles liés à The Curve Shortening Problem

The Curve Shortening Problem - Couverture souple

Chou, Kai-Seng; Zhu, Xi-Ping

 
9780367397531: The Curve Shortening Problem

Synopsis

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 authors present a complete treatment of the Gage-Hamilton theorem, a clear, detailed exposition of Grayson's convexity theorem, a systematic discussion of invariant solutions, applications to the existence of simple closed geodesics on a surface, and a new, almost convexity theorem for the generalized curve shortening problem.

Many questions regarding curve shortening remain outstanding. With its careful exposition and complete guide to the literature, The Curve Shortening Problem provides not only an outstanding starting point for graduate students and new investigations, but a superb reference that presents intriguing new results for those already active in the field.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Chou, Kai-Seng; Zhu, Xi-Ping

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.