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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.
New Bianchi type-I cosmological models for biharmonic particles using string cosmology with exponential law
(Springer/Plenum Publishers, 2015)
Anisotropic Bianchi type-I magnetized string cosmological models are obtained in decaying vacuum energy density proposed by Pradhan (Commun Theor Phys 55: 931-941, 2011). In this study, we obtain some physical and geometrical ...
THE RELATIONS BETWEEN NULL GEODESIC CURVES AND TIMELIKE RULED SURFACES IN DUAL LORENTZIAN SPACE D-1(3)
(Honam Mathematical Soc, 2019)
In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces ...
ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE
(Kırklareli Üniversitesi, 2016)
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 study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space
(2016)
Bu çalışmada, E_1^3 de Bishop çatısının yeni bir yorumuna göre null olmayan eğrilerin klasik diferensiyel geometrisini inceliyoruz. Bu yeni yorumlanan çatıyı, 2. Tip Bishop çatısı şeklinde adlandırıyoruz. Öncelikle, bir ...
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 ...
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 ...
THE RELATIVELY OSCULATING DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE
(Ankara Univ, Fac Sci, 2020)
We construct a developable surface tangent to a surface along a curve on the surface. We call this surface as relatively osculating developable surface. We choose the curve as the tangent normal direction curve on which ...
On Characterizations of Some Special Curves of Timelike Curves According to the Bishop Frame of Type-2 in Minkowski 3-Space
(Amer Inst Physics, 2016)
In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop ...
The construction of the space-like surface of constant breadth
(World Scientific Publ Co Pte Ltd, 2019)
The objective of this study is to define an ovaloid surface on the convex closed space-like surfaces of constant breadth when principal curvatures of these surfaces are continuous, non-vanishing functions, and to obtain ...