The Curve Shortening Problem by Kai-Seng Chou,Xi-Ping Zhu

By Kai-Seng Chou,Xi-Ping Zhu

even supposing study in curve shortening circulate has been very energetic for almost two decades, the result of these efforts have remained scattered during the literature. For the 1st time, The Curve Shortening challenge collects and illuminates these leads to a entire, rigorous, and self-contained account of the basic results.

The authors current an entire remedy of the Gage-Hamilton theorem, a transparent, specific exposition of Grayson's convexity theorem, a scientific dialogue of invariant strategies, purposes to the life of easy closed geodesics on a floor, and a brand new, virtually convexity theorem for the generalized curve shortening problem.

Many questions concerning curve shortening stay notable. With its cautious exposition and entire consultant to the literature, The Curve Shortening challenge offers not just a very good place to begin for graduate scholars and new investigations, yet an outstanding reference that offers interesting new effects for these already lively within the field.

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