Author: E. M. SoloumaPublisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime
Author: E. M. SoloumaPublisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE
Author: MUHAMMED CETINPublisher: 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.
COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE
Author: M. KHALIFA SAADPublisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24
Book Description
In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.
Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space
Author: Suha YılmazPublisher: 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.
Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
Author: Gülnur Saffak AtalayPublisher: 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.
Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame
Author: Kahraman Esen OzenPublisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
Book Description
In differential geometry, the theory of curves has an important place. The concept of moving frames defined on curves is an important part of this theory. Recently, Ozen and Tosun have introduced a new moving frame for the trajectories with non-vanishing angular momentum in 3-dimensional Euclidean space (J. Math. Sci. Model. 4(1), 2021). This frame is called positional adapted frame. In the present study, we investigate the special trajectories generated by Smarandache curves according to positional adapted frame in E3 and we calculate the Serret-Frenet apparatus of these trajectories. Later, we consider a specific curve and obtain the parametric equations of the aforesaid special trajectories for this curve. Finally, we give the graphics of these obtained special trajectories which were drawn with the mathematica program. The results obtained here are new contributions to the field. We expect that these results will be useful in some specific applications of differential geometry and particle kinematics in the future.
On spacelike equiform-Bishop Smarandache curves on S21
Author: E. M. SoloumaPublisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17
Book Description
In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate these curves.
Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space
Author: Tevfik SahinPublisher: 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.
SPECIAL SMARANDACHE CURVES IN R3 1
Author: NURTEN (BAYRAK) GRSESPublisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 18
Book Description
In di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves by using the existing studies.
On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space
Author: Emad Solouma Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.