ISSN:
1572-9168
Keywords:
Average curvature
;
total curvature
;
convexity
;
integral geometry
;
plane curve
;
geometric inequalities.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The average curvature of a rectifiable closed curve in R2 is its total absolute curvature divided by its length. If a rectifiable closed curve in R2 is contained in the interior of a convex set D then its average curvature is at least as large as the average curvature of the simple closed curve ∂ D which bounds the convex set.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004912521664
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