PARALLEL SURFACES TO S-TANGENT SURFACES OF BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP HEIS[sup]3[/sup][sup][/sup]
Journal Title: Journal of Science And Arts - Year 2012, Vol 20, Issue 3
Abstract
In this paper, we study parallel surfaces to [sup]S[/sup] - tangent surfaces according to Sabban frame in the Heisenberg group Heis[sup]3[/sup]. We characterize parallel surfaces to [sup]S[/sup] - tangent surfaces of the biharmonic curves in terms of their geodesic curvature in the Heisenberg group Heis[sup]3[/sup]. Finally, we find explicit parametric equations of parallel surfaces [sup]S[/sup] - tangent surfaces according to Sabban Frame.
Authors and Affiliations
TALAT KÖRPINAR, ESSIN TURHAN
Keywords
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