Search Results - "Muhittin Evren AYDIN"
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Effect of local fractional derivatives on Riemann curvature tensor
Published in Examples and counterexamples (01-06-2024)“…In this paper, we give a main example indicating the ineffectiveness of the local fractional derivatives on the Riemann curvature tensor that is a common tool…”
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2
Constant curvature factorable surfaces in 3-dimensional isotropic space
Published in Journal of the Korean Mathematical Society (01-01-2018)“…In the present paper, we study and classify factorable surfaces in a 3-dimensional isotropic space with constant isotropic Gaussian $(K)$ and mean curvature…”
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A Note on Surfaces in Space Forms with Pythagorean Fundamental Forms
Published in Mathematics (Basel) (01-03-2020)“…In the present note we introduce a Pythagorean-like formula for surfaces immersed into 3-dimensional space forms M 3 ( c ) of constant sectional curvature c =…”
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4
Singular minimal translation graphs in Euclidean spaces
Published in Journal of the Korean Mathematical Society (01-01-2021)“…In this paper, we consider the problem of finding the hypersurface $M^{n}$ in the Euclidean $\left( n+1\right)$-space $\mathbb{R}^{n+1}$ that satisfies an…”
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5
Pythagorean Isoparametric Hypersurfaces in Riemannian and Lorentzian Space Forms
Published in Axioms (01-02-2022)“…We introduce the notion of a Pythagorean hypersurface immersed into an n+1-dimensional pseudo-Riemannian space form of constant sectional curvature c∈−1,0,1…”
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6
Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space
Published in Advances in mathematical physics (01-01-2015)“…We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space G 3 1 . We classify such surfaces with null…”
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Applications of fractional calculus in equiaffine geometry: plane curves with fractional order
Published in Mathematical methods in the applied sciences (30-11-2021)“…In this paper, we introduce the notions of equiaffine arclength and curvature with fractional order for a plane curve and compare them with the standard ones…”
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8
Constant sectional curvature surfaces with a semi-symmetric non-metric connection
Published in Journal of mathematical analysis and applications (15-02-2025)“…Consider the Euclidean space R3 endowed with a canonical semi-symmetric non-metric connection determined by a vector field C∈X(R3). We study surfaces when the…”
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Multiplicative rectifying submanifolds of multiplicative Euclidean space
Published in Mathematical methods in the applied sciences (07-07-2024)“…In this paper, we initiate the study of the multiplicative Euclidean submanifolds, exhibiting the multiplicative counterparts of the Gauss–Weingarten formulas…”
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10
Translators of flows by powers of the Gauss curvature
Published in Annali di matematica pura ed applicata (01-02-2023)“…A K α -translator is a surface in Euclidean space R 3 that moves by translations in a spatial direction under the K α -flow, where K is the Gauss curvature and…”
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A generalization of translation surfaces with constant curvature in the isotropic space
Published in Journal of geometry (01-12-2016)“…In this paper we study the translation surfaces generated by a space curve and a planar curve in the isotropic 3-space I 3 . We completely classify such…”
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12
Pythagorean Submanifolds in Euclidean Spaces
Published in Resultate der Mathematik (01-12-2023)“…In this paper we introduce the notion of a Pythagorean submanifold isometrically immersed into a Euclidean space. This definiton will be based on the shape…”
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13
Ruled translating solitons in Minkowski 3-space
Published in Journal of geometry and physics (01-12-2021)“…We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find ruled translating solitons that are not…”
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14
Ruled singular minimal surfaces
Published in Journal of geometry and physics (01-01-2024)Get full text
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15
Translating solitons of translation and homothetical types
Published in Turkish journal of mathematics (01-01-2022)Get full text
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16
Some Inequalities on Submanifolds in Statistical Manifolds of Constant Curvature
Published in Filomat (01-01-2015)“…In this paper, we study the behaviour of submanifolds in statistical manifolds of constant curvature. We investigate curvature properties of such submanifolds…”
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17
Effect of local fractional derivatives on Riemann curvature tensor
Published 24-11-2022“…In this short note, we investigate the effect of the local fractional derivatives on the Riemann curvature tensor that is a common tool in calculating…”
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18
NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
Published in Romanian journal of mathematics and computer science (01-05-2014)“…In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in…”
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19
Classification of Quasi-Sum Production Functions with Allen Determinants
Published in Filomat (01-01-2015)“…In this paper, we derive an explicit formula for the determinant of Allen's matrix of quasi-sum production functions. We completely classify the quasi-sum…”
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20
Singular Minimal Surfaces which are Minimal
Published in Universal journal of mathematics and applications (30-12-2021)“…In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a…”
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