Ara
Toplam kayıt 12, listelenen: 1-10
Characterizations of special time-like curves in Lorentzian plane L-2
(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 ...
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 ...
On the curvatures of spacelike circular surfaces
(Academic Publication Council, 2016)
In this paper a complete system of invariants is presented to study spacelike circular surfaces with fixed radius. The study of spacelike circular surfaces is simplified to the study of two curves: the Lorentzian spherical ...
NEW CHARACTERIZATIONS OF SPACELIKE CURVES ON TIMELIKE SURFACES THROUGH THE LINK OF SPECIFIC FRAMES
(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 ...
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 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 ...
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 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 ...