Abstract
In this paper, an upper bound of the average curvature of a convex curve in a simply connected surface is obtained.
Citation
Jin LU. Minoru TANAKA. "On Average Curvatures of Convex Curves in Surfaces." Tokyo J. Math. 26 (1) 107 - 114, June 2003. https://doi.org/10.3836/tjm/1244208685
Information
Published: June 2003
First available in Project Euclid: 5 June 2009
zbMATH: 1055.53023
MathSciNet: MR1982002
Digital Object Identifier: 10.3836/tjm/1244208685
Subjects:
Primary:
53C45
,
58A05
Secondary:
52A10
,
52A40
Rights: Copyright © 2003 Publication Committee for the Tokyo Journal of Mathematics