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VOL. 8 | 2007 On the Geometric Structure of Hypersurfaces of Conullity Two in Euclidean Space
Georgi Ganchev, Velichka Milousheva

Editor(s) Ivaïlo M. Mladenov, Manuel de León

Abstract

In this paper we introduce the notion of a semi-developable surface of codimension two as a generalization of the notion of a developable surface of codimension two. We give a characterization of the developable and semi-developable surfaces in terms of their second fundamental forms. We prove that any hypersurface of conullity two in Euclidean space is locally a foliation of developable or semi-developable surfaces of codimension two.

Information

Published: 1 January 2007
First available in Project Euclid: 13 July 2015

zbMATH: 1119.53006
MathSciNet: MR2341202

Digital Object Identifier: 10.7546/giq-8-2007-169-183

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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