ISSN:
1572-9168
Schlagwort(e):
Average curvature
;
total curvature
;
convexity
;
integral geometry
;
plane curve
;
geometric inequalities.
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1004912521664