Publication: Characterizations of space curves with 1-type darboux instantaneous rotation vector
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Date
2016-01-01
Authors
Arslan, Kadri
Authors
Kocayiğit, Hüseyin
Önder, Mehmet
Journal Title
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Publisher
Korean Mathematical Soc
Abstract
In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E-3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.
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Science & technology, Physical sciences, Mathematics