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arXiv · 1106.3468

Notes on Degenerate Curves in Pseudo-Euclidean Spaces of Index Two

Mehmet Göçmen·Sadık Keleş
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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 $6-$dimensional pseudo-Euclidean space of index two. Also we characterize pseudo-spherical null curves in the $n-$dimensional pseudo-Euclidean space of index two in terms of the curvature functions.

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Mehmet Göçmen, Sadık Keleş. 2011-06-17. Notes on Degenerate Curves in Pseudo-Euclidean Spaces of Index Two. https://arxiv.org/abs/1106.3468

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