Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
Title | Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF eBook |
Author | Gülnur Saffak Atalay |
Publisher | Infinite Study |
Pages | 11 |
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In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.
Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
Title | Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF eBook |
Author | Gülnur Saffak Atalay |
Publisher | Infinite Study |
Pages | 11 |
Release | |
Genre | |
ISBN |
In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.
Surfaces family with a common Mannheim geodesic curve
Title | Surfaces family with a common Mannheim geodesic curve PDF eBook |
Author | Gülnur ŞAFFAK ATALAY |
Publisher | Infinite Study |
Pages | 11 |
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In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame and derive the necessary and sufficient conditions for coefficients to satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, examples are given to show the family of surfaces with common Mannheim geodesic curve.
Special Smarandache Ruled Surfaces According to Flc Frame
Title | Special Smarandache Ruled Surfaces According to Flc Frame PDF eBook |
Author | Suleyman Senyurt |
Publisher | Infinite Study |
Pages | 18 |
Release | 2023-01-01 |
Genre | Mathematics |
ISBN |
In this study, we introduce some special ruled surfaces according to the Flc frame of a given polynomial curve. We name these ruled surfaces as Smarandache ruled surfaces and provide their characteristics such as Gauss and mean curvatures in order to specify their developability and minimality conditions. Moreover, we examine the conditions if the parametric curves of the surfaces are asymptotic, geodesic or curvature line. Such conditions are also argued in terms of the developability and minimality conditions. Finally, we give an example and picture the corresponding graphs of ruled surfaces by using Maple17.
Ruled Surfaces generated by special curves in Eucleadean 3-Space
Title | Ruled Surfaces generated by special curves in Eucleadean 3-Space PDF eBook |
Author | Ahmat T. Ali |
Publisher | Infinite Study |
Pages | 10 |
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In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of Eucleadean 3-Spase is investigated.
2nd International Students Science Congress Proceedings
Title | 2nd International Students Science Congress Proceedings PDF eBook |
Author | Mahamat Ali Amine Ouchar |
Publisher | Infinite Study |
Pages | 295 |
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Genre | Mathematics |
ISBN |
The aim of this study is to determine PstI polymorphism in the exon 6 region of the Pituitary-specific Transcription Factor (Pit-1) gene which is regarded as a candidate gene in mammals in regulating growth and development in 6 different goat breeds reared in Turkey. PstI polymorphism in Pit-1 gene (450 bp) was investigated by Restriction Fragment Length Polymorphism (RFLP) method in a total of 217 goats including 36 Hair, 18 Angora, 43 Kilis, 37 Honamlı, 46 Halep and 37 heads of Saanen breeds.
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Title | On Pseudospherical Smarandache Curves in Minkowski 3-Space PDF eBook |
Author | Esra Betul Koc Ozturk |
Publisher | Infinite Study |
Pages | 15 |
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In this paper we define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.