An inequality for the maximum curvature through a geometric flow

作者：Pankrashkin Konstantin^*

来源：Archiv der Mathematik, 2015, 105(3): 297-300.

DOI：10.1007/s00013-015-0804-z

• Maximum curvature
• Curve shortening flow
• Maximum principle
• Isoperimetric inequality

We provide a new proof of the following inequality: the maximum curvature and the enclosed area A of a smooth Jordan curve satisfy k(max.) >= root pi/A. The feature of our proof is the use of the curve shortening flow.

• 出版日期2015-9