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Zbl 1119.53006
Ganchev, Georgi; Milousheva, Velichka
On the geometric structure of hypersurfaces of conullity two in Euclidean space. (English)
[A] Mladenov, Iva\"ilo (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. 169-183 (2007). ISBN 978-954-8495-37-0/pbk

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.

MSC 2000:: *53A07 Higher-dimension and -codimension surfaces in Euclidean n-space

Keywords: semi-developable; second fundamental forms

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