Yazar "Gok, Ismail" için listeleme
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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. ... -
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 Geometric view of Magnetic Surfaces and Magnetic Curves
Ozdemi, Zehra; Gok, Ismail; Ekmekc, F. Nejat (INT ELECTRONIC JOURNAL GEOMETRY, 2019)In the present paper, we approach the magnetic surfaces geometrically. For this aim, we study the problem of constructing a family of magnetic surfaces from a given magnetic field line. We obtain a parametric representation ... -
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 ...