Browsing by Author "Ünlütürk, Yasin"
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A Note on Some Characterizations of Curves Due to Bishop Frame in Euclidean Plane E^2
Yılmaz, Süha; Ünlütürk, Yasin (201612)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 SciencesAims, 2020)In this paper, we construct the energy for the EDframe 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 timelike curves in Lorentzian plane L2
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 timelike curve in Lorentzian plane L2. Then we study the special curves such as Smarandache curves, circular indicatrices, and ... 
The Characterizations of the Spherical Images of Timelike WCurves in Minkowski SpaceTime
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 spacelike 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 spacelike surfaces of constant breadth when principal curvatures of these surfaces are continuous, nonvanishing functions, and to obtain ... 
Contributions to differential geometry of isotropic curves in the complex space C3  II
Yılmaz, Suha; Ünlütürk, Yasin (Academic Press Inc Elsevier Science, 2016)This study investigates classical differential geometry of isotropic curves in the complex space C3. 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 3space E1(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 3space E1(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, 3boyutlu Finsler manifoldunda iki özel eğri arasındaki ilişki üzerine çalıştık. 3boyutlu Finslermanifoldundaki bir regüler eğri ve bir genel helis arasındaki bir denklem kullanılarak, regüler eğri ve genel ... 
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4SPACE
Ergut, Mahmut; Yılmaz, Suha; Ünlütürk, Yasin (Honam Mathematical Soc, 2018)We define the e(1)(alpha) e(3)(alpha)isotropic Smarandache curves of type1 and type2, 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 typeI cosmological models for biharmonic particles using string cosmology with exponential law
Korpınar, Talat; Ünlütürk, Yasin (Springer/Plenum Publishers, 2015)Anisotropic Bianchi typeI magnetized string cosmological models are obtained in decaying vacuum energy density proposed by Pradhan (Commun Theor Phys 55: 931941, 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 3space, 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 5SPACE
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 5space L5. Then we obtain the bienergies and biangels of Frenet vector fields in L5 by using the values of energies and ... 
A NEW CONSTRUCTION OF TIMELIKE RULED SURFACES WITH CONSTANT DISTELIAXIS
AbdelBaky, Rashad A.; Ünlütürk, Yasin (Honam Mathematical Soc, 2020)In this study, we construct timelike ruled surfaces whose Disteliaxis is constant in Minkowski 3space E1(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 EDframe fields of the first and second types on an orientable hypersurface in E4. We explore the geometric features of some charts by ... 
NORMAL DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE
AbdelBaky, 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 type2 bishop frame in minkowski 3space 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 type2 Bishop frame in Minkowski 3space 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 BibliothecaBibliotheca Publ House, 2021)A basic goal of this paper is to calculate, Weyl curvature of Rflat (Ricciflat) spray of isotropic curvature and a locally projectively Rflat (Ricciflat) spray, which is a projective invariance. Besides, the equivalents ... 
A note on the spherical images of Wpartially null curves in Minkowski spacetime E1(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 Wpartially null curve in pseudohyperbolic space H0(3) of Minkowski space time E1(4). The tangent, principal normal spherical ... 
On Characterizations of Some Special Curves of Spacelike Curves According to The Type2 Bishop Frame in Minkowski 3Space
Ünlütürk, Yasin (201512)In this paper, first we give a characterization of spacelike inclined curves according to the type2 Bishop frame in Minkowski 3space, and then define rectifying curves of spacelike curves according to the type2 Bishop ...