Notes on Degenerate Curves in Pseudo-Euclidean Spaces of Index Two
Differential Geometry
2011-06-20 v1
Abstract
In this paper we deal with curves with degeneration degree two in pseudo-Euclidean spaces of index two. We characterize Bertrand curves. We show a correspondence between the evolute of a null curve and the involute of a certain spacelike curve in the dimensional pseudo-Euclidean space of index two. Also we characterize pseudo-spherical null curves in the dimensional pseudo-Euclidean space of index two in terms of the curvature functions.
Keywords
Cite
@article{arxiv.1106.3468,
title = {Notes on Degenerate Curves in Pseudo-Euclidean Spaces of Index Two},
author = {Mehmet Göçmen and Sadık Keleş},
journal= {arXiv preprint arXiv:1106.3468},
year = {2011}
}
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13 pages