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

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

2011-06-17

arxiv.org/abs/1106.3468v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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