Commun. Korean Math. Soc. 2000 Vol. 15, No. 1, 103-109
Y. D. Chai, Moonjeong Kim Sungkyunkwan University, Sungkyunkwan University
Abstract : In this paper, we present the proof of generalized Fenchel's theorem by estimating the Gauss-Kronecker curvature of the tube of a nondegenerate closed curve in $R^n$.
Keywords : tube, nondegenerate curve, total curvature, Gauss-Kronecker curvature