FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 1, PAGES 247-252

A generalization of the Pogorelov--Stocker theorem on complete developable surfaces

I. Kh. Sabitov

Abstract

View as HTML     View as gif image

The well-known Pogorelov theorem stating the cylindricity of any C1-smooth, complete, developable surface of bounded exterior curvature in R3 was generalized by Stocker to C2-smooth surfaces with a more general notion of completeness. We extend Stocker's result to C1-smooth surfaces being normal developable in the Burago--Shefel' sense.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k06/k061/k06109h.htm
Last modified: July 8, 2006