Proceedings of the International Conference on Geometry, Integrability and Quantization

One-Parameter Systems of Developable Surfaces of Codimension Two in Euclidean Space

Velitchka Milousheva and Georgi Ganchev

Abstract

In the present paper we consider a class of hypersurfaces of conullity two in Euclidean space, which are one-parameter systems of developable surfaces of codimension two and we prove a characterization theorem for them in terms of their second fundamental tensor.

Article information

Source
Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 328-336

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145479

Digital Object Identifier
doi:10.7546/giq-3-2002-328-336

Mathematical Reviews number (MathSciNet)
MR1884857

Zentralblatt MATH identifier
1884857

Citation

Milousheva, Velitchka; Ganchev, Georgi. One-Parameter Systems of Developable Surfaces of Codimension Two in Euclidean Space. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 328--336, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-328-336. https://projecteuclid.org/euclid.pgiq/1434145479


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