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On Characterizations of Some Special Curves of Spacelike Curves According to The Type-2 Bishop Frame in Minkowski 3-Space
(2015-12)
In this paper, first we give a characterization of spacelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of spacelike curves according to the type-2 Bishop ...
A Note on Some Characterizations of Curves Due to Bishop Frame in Euclidean Plane E^2
(2016-12)
In this paper, we first obtain the differential equation characterizing position vector of a regular curve in Euclidean plane E^2 . Then we study the special curves such as Smarandache curves, curves of constant breadth ...
On Curves of Constant Width Due to The Bishop Frame of Type-2 In Dual Euclidean Space D^3
(2016-04)
In this work, we study dual constant width curves due to the Bishop frame of type-2 in dual space D^3 . We obtain a differential equation which characterizes these curves in D^3. For special solutions of this differential ...
A note on spacelike curves according to type-2 bishop frame in minkowski 3-space e3
(Academic Press, 2015)
In this work, we give some characterizations of spacelike curve with spacelike principal normal vector according to type-2 Bishop frame in Minkowski 3-space E3 1 . Also, we obtain position vector of spacelike curves on ...
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike directrix
(Universiti Putra Malaysia, 2014)
In this paper, we deal with the differential geometric properties of robot end-effector's motion by using the curvature theory of timelike ruled surfaces with timelike directrix.
Contributions to differential geometry of isotropic curves in the complex space C-3 - II
(Academic Press Inc Elsevier Science, 2016)
This study investigates classical differential geometry of isotropic curves in the complex space C-3. First, we deal with spherical images of isotropic curves, and then obtain some results regarding these curves. Therefore, ...
ON DARBOUX HELICES IN THE COMPLEX SPACE C-3
(Editura Bibliotheca-Bibliotheca Publ House, 2019)
In this study, using Darboux vector of an isotropic curve given by Semin in [1], we give a characterization of isotropic Darboux helices in the complex space C-3. We show that an isotropic curve to be a Darboux helix has ...
ON THE SPHERICAL INDICATRIES OF CURVES IN GALILEAN 4-SPACE
(Indonesian Mathematical Soc, 2019)
Euclidean and non-Euclidean geometries can be considered as spaces that are invariant under a given group of transformations [8]. The geometry established by this approach is called Cayley-Klein geometry. Galilean 4-space ...
Twisted surfaces with vanishing curvature in Galilean 3-space
(World Scientific Publ Co Pte Ltd, 2018)
In this work, we define twisted surfaces in Galilean 3-space. In order to construct these surfaces, a planar curve is subjected to two simultaneous rotations, possibly with different rotation speeds. The existence of ...
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
(Honam Mathematical Soc, 2018)
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache ...
