I. Kh. Sabitov, “On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable <nobr>$C^1$</nobr> Surfaces”, Mat. Zametki, 2010, Volume 87, Issue 6,Pages <nobr>900

This article is cited in 4 papers

On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces

I. Kh. Sabitov

M. V. Lomonosov Moscow State University

Abstract: It is proved that any normal $C^1$ surface developable in the sense of Shefel has zero extrinsic curvature in the sense of Pogorelov. A condition under which such a surface has a standard line of striction is obtained.

Keywords: normal developable surface, extrinsic curvature, line of striction, conical surface, cylindrical surface, torsial surface.

UDC: 515.16

Received: 26.08.2009
Revised: 10.10.2009

DOI: 10.4213/mzm8735