ORCID "0000-0003-2471-1627" Araştırma Çıktıları | TR-Dizin | WoS | Scopus | PubMed için listeleme
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ANOTHER APPLICATION OF SMARANDACHE BASED RULED SURFACES WITH THE DARBOUX VECTOR ACCORDING TO FRENET FRAME IN E3
Senyurt, Suleyman; Canli, Davut; Can, Elif; Mazlum, Sumeyye Gur (ANKARA UNIV, FAC SCI, 2023)In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vec-tors ... -
The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space
Gur Mazlum, Sumeyye; Senyurt, Suleyman; Grilli, Luca (MDPI, 2022)In this study, we examine the dual expression of Valeontis' concept of parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to the Study mapping. Furthermore, we show that the dual part of the ... -
Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space
Mazlum, Sumeyye Gur (UNIV NIS, FAC SCI MATH, 2023)In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3 -space are obtained by ... -
The Invariants of Dual Parallel Equidistant Ruled Surfaces
Mazlum, Sümeyye Gür; Şenyurt, Süleyman; Grilli, Luca (MDPI, 2023)In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces ... -
On the Gaussian curvature of timelike surfaces in Lorentz-Minkowski 3-space
Mazlum, Sümeyye Gür (University of Nis, 2023)In this study, the various expressions of the Gaussian curvature of timelike surfaces whose parameter curves intersect under any angle are investigated and the Enneper formula is obtained in Lorentz-Minkowski 3-space. By ... -
ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE
Aksan, Birkan; Mazlum, Sumeyye Gur (HONAM MATHEMATICAL SOC, 2024)In this paper, we calculate Frenet frames, Frenet derivative formulas, curvatures, arc lengths, geodesic curvatures according to the Lorentzian 3-space R31, Lorentzian sphere S21 and hyperbolic sphere H2 0 of the spherical ... -
Some properties of fuzzy sedenion numbers and fuzzy sedenion valued series
Bektas, Ozcan; Senyurt, Suleyman; Mazlum, Sumeyye Gur (Maejo University, 2023)The analytic properties of fuzzy sedenion numbers and sedenion valued series are studied. For this aim, we first introduce fuzzy sedenion numbers. Then we present infimum, supremum, distance, limit of sequences and other ... -
SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II
Senyurt, Suleyman; Canli, Davut; Can, Elif; Gür Mazlum, Sümeyye (HONAM MATHEMATICAL SOC, 2022)In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. ...