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Toplam kayıt 13, 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 ...
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 ...