Yazar "Ünlütürk, Yasin" için listeleme
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A Note on Some Characterizations of Curves Due to Bishop Frame in Euclidean Plane E^2
Yılmaz, Süha; Ünlütürk, Yasin (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 ... -
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
Korpınar, Talat; Ünlütürk, Yasin (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 ... -
Characterizations of special time-like curves in Lorentzian plane L-2
Mağden, Abdullah; Yılmaz, Suha; Ünlütürk, Yasin (World Scientific Publ Co Pte Ltd, 2017)In this paper, we first obtain the differential equation characterizing position vector of time-like curve in Lorentzian plane L-2. Then we study the special curves such as Smarandache curves, circular indicatrices, and ... -
The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time
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 ... -
The construction of the space-like surface of constant breadth
Çimdiker, Muradiye; Ünlütürk, Yasin (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 ... -
Contributions to differential geometry of isotropic curves in the complex space C-3 - II
Yılmaz, Suha; Ünlütürk, Yasin (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, ... -
A different view of the tube surface in Minkowski 3-space E-1(3)
Aslan, Muradiye Çimdiker; Ünlütürk, Yasin (Tbilisi Centre Math Sci, 2021)A basic goal of this paper is to study the tube surface with a null Cartan curve with respect to the Bishop frame in Minkowski 3-space E-1(3) and to compute some geometric features for this kind of the tube surface such ... -
Finsler Manifoldunda Genel Helisler Üzerine Bir Çalışma
Çimdiker, Muradiye; Ünlütürk, Yasin (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 ... -
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
Ergut, Mahmut; Yılmaz, Suha; Ünlütürk, Yasin (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 ... -
New Bianchi type-I cosmological models for biharmonic particles using string cosmology with exponential law
Korpınar, Talat; Ünlütürk, Yasin (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 ... -
NEW CHARACTERIZATIONS OF SPACELIKE CURVES ON TIMELIKE SURFACES THROUGH THE LINK OF SPECIFIC FRAMES
Ünlütürk, Yasin; Yılmaz, Süha (2018)In this work, considering a regular spacelike curve on a smooth timelikesurface in Minkowski 3-space, we investigate relations between the mentioned curve’sDarboux and Bishop frames on the timelike surface. Next we obtain ... -
A NEW CONSTRUCTION OF BIENERGY AND BIANGLE IN LORENTZ 5-SPACE
Korpınar, Talat; Ünlütürk, Yasin (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 ... -
A NEW CONSTRUCTION OF TIMELIKE RULED SURFACES WITH CONSTANT DISTELI-AXIS
Abdel-Baky, Rashad A.; Ünlütürk, Yasin (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 ... -
A new version of bienergies and biangles for curves framed by extended darboux frame
Korpınar, Talat; Ünlütürk, Yasin (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 ... -
NORMAL DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE
Abdel-Baky, Rashad A.; Ünlütürk, Yasin (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 NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2
Yılmaz, Süha; Ünlütürk, Yasin (Kırklareli Üniversitesi, 2016)In this paper, we first obtain the differential equation characterizing position vector of a regularcurve in Euclidean plane 2 E . Then we study the special curves such as Smarandache curves,curves of constant breadth due ... -
A note on spacelike curves according to type-2 bishop frame in minkowski 3-space e3
Yılmaz, Süha; Ünlütürk, Yasin (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 ... -
A NOTE ON SPRAYS OF ISOTROPIC CURVATURE
Aslan, Muradiye Çimdiker; Ünlütürk, Yasin; Ekici, Cumali (Editura Bibliotheca-Bibliotheca Publ House, 2021)A basic goal of this paper is to calculate, Weyl curvature of R-flat (Ricci-flat) spray of isotropic curvature and a locally projectively R-flat (Ricci-flat) spray, which is a projective invariance. Besides, the equivalents ... -
A note on the spherical images of W-partially null curves in Minkowski space-time E-1(4)
Ünlütürk, Yasin; Karakaş, Zeynelabidin (Tbilisi Centre Math Sci, 2019)In this study, we investigate the tangent, principal normal and trinormal spherical images of a W-partially null curve in pseudohyperbolic space H-0(3) of Minkowski space time E-1(4). The tangent, principal normal spherical ... -
On Characterizations of Some Special Curves of Spacelike Curves According to The Type-2 Bishop Frame in Minkowski 3-Space
Ünlütürk, Yasin (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 ...
