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PARALLEL SURFACES TO S-TANGENT SURFACES OF BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP HEIS 3

Keywords: Biharmonic curve , Heisenberg group , Tangent surface

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Abstract:

In this paper, we study parallel surfaces to S - tangent surfaces according to Sabban frame in the Heisenberg group Heis3. We characterize parallel surfaces to S - tangent surfaces of the biharmonic curves in terms of their geodesic curvature in the Heisenberg group Heis3. Finally, we find explicit parametric equations of parallel surfaces S - tangent surfaces according to Sabban Frame.

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