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POLYGON SHORTENING MAKES (MOST) QUADRILATERALS CIRCULAR
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 Title & Authors
POLYGON SHORTENING MAKES (MOST) QUADRILATERALS CIRCULAR
Jecko, Thierry; Leger, Jean-Christophe;
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 Abstract
We show that an analog of the age-Grayson-Hamilton Theorem for curves moving according to their mean curvature holds for the motion of quadrilaterals according to their Menger curvature.
 Keywords
motion by Menger curvature;cocyclicality;discretization;motion by mean curvature;
 Language
English
 Cited by
1.
Asymptotic Behavior of $$\beta $$ β -Polygon Flows, The Journal of Geometric Analysis, 2017, 1559-002X  crossref(new windwow)
 References
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Invent. Math., vol.76. pp.357-364 crossref(new window)

2.
J. Differential Geometry, vol.26. pp.69-96

3.
J. Differential Geometry, vol.26. pp.285-314

4.
Annals of Math., vol.44. pp.127-136 crossref(new window)

5.
Transl., Ser. 2, Am. Math. Soc., vol.180(34). pp.197-207