Yazar "Ozdemir, Zehra" için listeleme
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The 2-ruled hypersurfaces in Minkowski 4-space and their constructions via octonions
Ndiaye, Ameth; Ozdemir, Zehra (Wiley, 2023)In this paper, we define three types of 2-ruled hypersurfaces in the Minkowski 4-space E-1(4). We obtain Gaussian and mean curvatures of the 2-ruled hypersurfaces of type-1 and type-2 and some characterizations about its ... -
Accretive Darboux growth in Lorentz-Minkowski spacetime
Tug, Gul; Ozdemir, Zehra; Gok, Ismail (Wiley, 2021)It is known that the geometric methods are used in most fields in natural sciences. Kinematics on curves and surfaces as one of these methods is an essential tool for investigating the growth of some biological objects. ... -
ANHOLONOMIC CO-ORDINATES AND ELECTROMAGNETIC CURVES WITH ALTERNATIVE MOVING FRAME VIA MAXWELL EVOLUTION
Ceyhan, Hazal; Yanik, Ebru; Ozdemir, Zehra (Ankara Univ, Fac Sci, 2023)In this study, we examine the Berry's phase equation for E-M curves in the C - direction and W - direction throughout an optic fiber via alternative moving frame in three dimensional space. Moreover, electromag-netic curve's ... -
Electromagnetic curves and Rytov curves based on the hyperbolic split quaternion algebra
Ozdemir, Zehra; Ekmekci, F. Nejat (Elsevier Gmbh, 2022)This paper aims to investigate the hyperbolically the motion of the polarization plane traveling along the linearly polarized light wave in the optical fiber via the hyperbolic split quaternion algebra. The motion of the ... -
Electromagnetism and Maxwellian Evolution Equations in terms of Darboux Frame in Minkowski Space with Abnormalities
Yanik, Ebru; Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail (Iop Publishing Ltd, 2024)Electromagnetic wave propagation is often thought of as the transport of polarised light and this behaviour is well defined by Maxwell's equations when propagating in an optical fiber. In this paper, we examine the q - ... -
Elliptical kinematics of the accretive surface growth
Ozdemir, Zehra; Tug, Gul (Tubitak Scientific & Technological Research Council Turkey, 2022)The stresses within the soft tissue are not constant for some shell surfaces. They vary with position along the mantle edge. In this paper, we show that elliptical geometry is more convenient to describe this type of ... -
Finslerian Viewpoint to the Rectifying, Normal and Osculating Curves
Ozdemir, Zehra; Ates, Fatma; Ekmekci, F. Nejat (Int Electronic Journal Geometry, 2022)The theory of Finsler metric was introduced by Paul Finsler, in 1918. The author defines this metric using the Minkowski norm instead of the inner product. Therefore, this geometry is a more general metric and includes the ... -
Fractional approach to evolution of the magnetic field lines near the magnetic null points
Durmaz, Hasan; Ozdemir, Zehra; Sekerci, Yadigar (Iop Publishing Ltd, 2024)In this work, the magnetic reconnection model near null points in 3D space will be investigated using fractional calculations in the 3D magnetohydrodynamic framework. For the initial magnetic configuration (without external ... -
GENERALIZATION FOR THE KINEMATICS OF SLIDING-ROLLING MOTION IN THE SEMI-EUCLIDEAN SPACE Rε3
Sahin, Tevfik; Orbay, Keziban; Ozdemir, Zehra (Springer, 2025)We propose a generalization for the sliding-rolling motion, which leads to meaningful physical and mathematical results because the general metric includes the time dimension. We also study the kinematics of the relative ... -
A Geometric Interpretation of Polarized Light and Electromagnetic Curves Along an Optical Fiber with Surface Kinematics
Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail; Ekmekci, F. Nejat (Springer Basel Ag, 2022)In this study, we research the behavior of a linearly polarized light wave coupling into an optical fiber on a surface in E-3 via geometric phase equations. The geometric phase has applications in many areas from ... -
A geometrical and physical interpretation of quaternionic generalized magnetic flux tubes
Ozdemir, Zehra (Pergamon-Elsevier Science Ltd, 2021)In the present paper, we give a generalization for the magnetic flux tubes. Firstly, we define the flux tube via quaternions. We obtain the magnetic flux canal surfaces and flux tubes by quaternion product of a unit ... -
KILLING MAGNETIC FLUX SURFACES IN EUCLIDEAN 3-SPACE
Ozdemir, Zehra; Gok, Ismail; Yayli, Yusuf; Ekmekci, F. Nejat (HONAM MATHEMATICAL SOC, 2019)In this paper, we give a geometric approach to Killing magnetic flux surfaces in Euclidean 3-space and solve the differential equations which expressed the mentioned surfaces. Furthermore we give some examples and draw ... -
Kinematic equations of Lorentzian magnetic flux tubes based on split quaternion algebra
Ozdemir, Zehra; Tuncer, O. Ogulcan; Gok, Ismail (Springer Heidelberg, 2021)The aim of the paper is to present a new geometric viewpoint for magnetic flux tubes (MFTs) in the three-dimensional Lorentzian space through split quaternion algebra. For this, we prove that an MFT can be completely ... -
A kinematic model of the Rytov's law in the optical fiber via split quaternions: application to electromagnetic theory
Ozdemir, Zehra (Springer Heidelberg, 2022)In this paper, we analyze the homothetic motion of the polarization plane traveling along the linearly polarized light wave ((LPL)-wave) in the optical fiber on the condition that the angle between the polarization vector ... -
Kinematic modeling of Rytov's law and electromagnetic curves in the optical fiber based on elliptical quaternion algebra
Ozdemir, Zehra; Cansu, Gizem; Yayli, Yusuf (Elsevier Gmbh, 2021)In this paper, we aim a kinematic method to investigate the behavior of polarized light in an optical fiber. Geometric phase equations are obtained using elliptic quaternions. The behavior of polarized light is studied for ... -
Kinematical modeling of circular and elliptical polarization of the polarized light via screw transformation
Ozdemir, Zehra (Iop Publishing Ltd, 2022)In this paper, it is shown that the motion of a polarized light wave in an optical fiber has a special meaning that relates the scalar and vector part of the dual quaternion to the kinematics concept of a screw. We describe ... -
Multiplicative elliptic quaternions and generating geometric elliptic rotation matrices
Ceyhan, Hazal; Ozdemir, Zehra (World Scientific Publ Co Pte Ltd, 2024)Ellipse motion involving an angle about a vector is referred to as elliptical rotation. The purpose of this work is to define a new class of elliptic quaternions, elliptic inner product, and elliptic vector product, which ... -
Multiplicative generalized tube surfaces with multiplicative quaternions algebra
Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail (Wiley, 2024)Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was ... -
Multiplicative hyperbolic split quaternions and generating rotation matrices
Ozdemir, Zehra; Ceyhan, Hazal (Elsevier Science Inc, 2024)With the help of split quaternions, rotational motion in Lorentz space can be studied. This rotation corresponds to the rotations on the hyperboloids. The aim of this study is to define and examine hyperbolic rotations in ... -
Null Cartan curve variations in 3D semi-Riemannian manifold
Ozdemir, Zehra (Hacettepe Univ, Fac Sci, 2021)The aim of this study is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi-Riemannian manifolds. The Killing equations in terms of the variations of the Bishop curvatures along the ...
