Publication:
Characterizations of space curves with 1-type darboux instantaneous rotation vector

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2016-01-01

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Korean Mathematical Soc

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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

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