New special curves and their spherical indicatrices

Details New special curves and their spherical indicatrices New special curves and their spherical indicatrices

2009-09-13

arxiv.org/abs/0909.2390v1

Mathematics

Differential Geometry

13 pages only

Scientific paper

In this paper, we define a new special curve in Euclidean 3-space which we
call {\it $k-$slant helix} and introduce some characterizations for this curve.
This notation is generalization of a general helix and slant helix.
Furthermore, we have given some necessary and sufficient conditions for the
$k-$slant helix.

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