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Construction of A Surface Pencil With A Common Special Surface Curve
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نویسنده
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Kaya Onur ,Onder Mehmet
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منبع
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Journal Of Mahani Mathematical Research - 2017 - دوره : 6 - شماره : 2 - صفحه:57 -72
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چکیده
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In this study, we introduce a new type of surface curves called d- type curve. this curve is de ned by the property that the unit darboux vector w 0 of a surface curve r(s) and unit surface normal n along the curve r(s) satisfy the condition d n,w 0 e = constant. we point out that a d-type curve is a geodesic curve or an asymptotic curve in some special cases. then, by using the frenet vectors and parametric representation of a surface pencil as a linear combination of the frenet vectors, we investigate necessary and sufficient condition for a curve to be a d-type curve on a surface pencil. moreover, we introduce some corollaries by considering the d-type curve as a helix, a salkowski curve or a planar curve. finally, we give some examples for the obtained results.
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کلیدواژه
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Surface Pencil ,D-Type Curve ,Parametric Representation ,Marching-Scale Function ,Surface Curve ,Frenet Frame
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آدرس
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Manisa Celal Bayar University, Department Of Mathematics, Turkey
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پست الکترونیکی
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mehmetonder197999@gmail.com
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Authors
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