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A NEW CONSTRUCTION OF TIMELIKE RULED SURFACES WITH CONSTANT DISTELI-AXIS
(Honam Mathematical Soc, 2020)
In this study, we construct timelike ruled surfaces whose Disteli-axis is constant in Minkowski 3-space E-1(3). Then we attain a general system characterizing these surfaces, and also give necessary and sufficient conditions ...
On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E-1(3)
(Amer Inst Mathematical Sciences-Aims, 2020)
In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k is an element of{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. ...
A new version of bienergies and biangles for curves framed by extended darboux frame
(Springer, 2021)
In this work, we research geometrical interpretation involved with the bienergy by ED-frame fields of the first and second types on an orientable hypersurface in E-4. We explore the geometric features of some charts by ...
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
(Amer Inst Mathematical Sciences-Aims, 2020)
In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy. We apply ...
NORMAL DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE
(Indonesian Mathematical Soc, 2020)
We construct a developable surface normal to a surface along a curve on the surface. We choose the curve as the normal direction curve on which the new surface is formed in Euclidean space. We obtain some results about the ...
A NEW CONSTRUCTION OF BIENERGY AND BIANGLE IN LORENTZ 5-SPACE
(Honam Mathematical Soc, 2021)
In this study, we firstly compute the energies and the angles of Frenet vector fields in Lorentz 5-space L-5. Then we obtain the bienergies and biangels of Frenet vector fields in L-5 by using the values of energies and ...
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 ...
The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time
(2020)
We know that ?? ?curve is a curve which has constant Frenet curvatures. In this study, firstly, wehave investigated the principal normal and binormal spherical images of a timelike ?? ?curve onpseudohyperbolic space ?03in ...
Finsler Manifoldunda Genel Helisler Üzerine Bir Çalışma
(2020)
Bu çalışmada, 3-boyutlu Finsler manifoldunda iki özel eğri arasındaki ilişki üzerine çalıştık. 3-boyutlu Finslermanifoldundaki bir regüler eğri ve bir genel helis arasındaki bir denklem kullanılarak, regüler eğri ve genel ...
On the variational curves due to the ED-frame field in Euclidean 4-space
(2020)
In this study, we define a variational field for constructing a family of Frenet curves of the length l lying on aconnected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field ...
