Proceedings of the International Conference on Geometry, Integrability and Quantization

Degenerate Curves in Pseudo-Euclidean Spaces of Index Two

Angel Ferrández, Angel Giménez, and Pascual Lucas

Abstract

We study degenerate curves in pseudo-Euclidean spaces of index two by introducing the Cartan reference along a degenerate curve. We obtain several different types of degenerate curves and present existence, uniqueness and congruence theorems. We also give some examples of such a curves in low dimensions.

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), 209-223

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145469

Digital Object Identifier
doi:10.7546/giq-3-2002-209-223

Mathematical Reviews number (MathSciNet)
MR1884847

Zentralblatt MATH identifier
1020.53005

Citation

Ferrández, Angel; Giménez, Angel; Lucas, Pascual. Degenerate Curves in Pseudo-Euclidean Spaces of Index Two. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 209--223, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-209-223. https://projecteuclid.org/euclid.pgiq/1434145469


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