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Proceedings of the National Academy of Sciences India Section A - Physical Sciences, vol.87, no.3, pp.355-362, 2017 (SCI-Expanded)
In this paper, we introduce a new Darboux vector and Darboux helix a curve according to type-2 Bishop frame in R3. We defined a new Darboux vector in term of type-2 Bishop frame in R3. We introduce a new spherical indicatrix, Darboux helix and constant precession of the curve type-2 Bishop in Euclidean 3-space. We give new characterization between Darboux helix and general helix. Apart from, the following characterization is given. The curve α∈ R3 is an inclined curve if and only if the arc length sω0 of the Darboux spherical indicatrix of the α is constant. Finally we illustrate one example of our main results.