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By Kai-Seng Chou,Xi-Ping Zhu

even supposing learn in curve shortening circulate has been very lively for almost twenty years, the result of these efforts have remained scattered in the course of the literature. For the 1st time, The Curve Shortening challenge collects and illuminates these leads to a finished, rigorous, and self-contained account of the elemental results.

The authors current a whole remedy of the Gage-Hamilton theorem, a transparent, precise exposition of Grayson's convexity theorem, a scientific dialogue of invariant strategies, functions to the life of straightforward closed geodesics on a floor, and a brand new, nearly convexity theorem for the generalized curve shortening problem.

Many questions concerning curve shortening stay remarkable. With its cautious exposition and entire consultant to the literature, The Curve Shortening challenge presents not just an excellent place to begin for graduate scholars and new investigations, yet a good reference that provides exciting new effects for these already energetic within the field.

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

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