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Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF Author: Gülnur Saffak Atalay
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF Author: Gülnur Saffak Atalay
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF Author: Gülnur Saffak Atalay
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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

Surfaces family with a common Mannheim geodesic curve PDF Author: Gülnur ŞAFFAK ATALAY
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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.

2nd International Students Science Congress Proceedings

2nd International Students Science Congress Proceedings PDF Author: Mahamat Ali Amine Ouchar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 295

Book Description
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.

Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space

Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space PDF Author: Suha Yılmaz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15

Book Description
In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves. Also, some characterizations of Smarandache breadth curves in Euclidean 3space are presented. Besides, we illustrate examples of our results.

SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE

SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE PDF Author: MUHAMMED CETIN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14

Book Description
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.

Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space

Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space PDF Author: Tevfik Sahin
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15

Book Description
In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surface in the three-dimensional Galilean space G3.

Computation of Smarandache curves according to Darboux frame in Minkowski 3-space

Computation of Smarandache curves according to Darboux frame in Minkowski 3-space PDF Author: H.S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9

Book Description
In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E 3 1. Using the usual transformation between Frenet and Darboux frames, we investigate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.

Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space

Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space PDF Author: Bahar UYAR DÜLDÜL
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6

Book Description
In this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.

Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair

Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair PDF Author: Suleyman Senyurt
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13

Book Description
In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.
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