Ganchev, Georgi; Milousheva, Velichka On the geometric structure of hypersurfaces of conullity two in Euclidean space. (English) Zbl 1119.53006 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 169-183 (2007). Summary: 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.For the entire collection see [Zbl 1108.53003]. MSC: 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces Keywords:semi-developable; second fundamental forms PDF BibTeX XML Cite \textit{G. Ganchev} and \textit{V. Milousheva}, in: Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 9--14, 2006. Sofia: Bulgarian Academy of Sciences. 169--183 (2007; Zbl 1119.53006) OpenURL