Korean J. Math.  Vol 25, No 4 (2017)  pp.513-535
DOI: http://dx.doi.org/10.11568/kjm.2017.25.4.513

Study on BCN and BAN Ruled Surfaces in $\mathbb{E}^{3}$

Hamdy N. Abd-Ellah, Abdelrahim Khalifa Omran


As a continuation to the study in [8, 12, 15, 17], we construct bi-conservative central normal (BCN) and bi-conservative asymptomatic normal (BAN) ruled surfaces in Euclidean 3-space $\mathbb{E}^{3}$. For such surfaces, local study is given and some examples are constructed using computer aided geometric design (CAGD). 


Bi-conservative surface; Geodesic Frenet trihedron; Shape operator

Subject classification

53A04, 53A05


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