Matematik Bölümü
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Recent Submissions

Fundamental form IV and curvature formulas of the hypersphere
(20201126)We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensional Euclidean geometry E4. We calculate fourth fundamental form and curvatures for hypersurfaces, and also for hypersphere. ... 
Curvatures of the factorable hypersurface
(20201210) 
A study on the fourth fundamental form of the factorable hypersurface
(20201210)We study the fourth fundamental form of the factorable hypersurface in the four dimensional Euclidean space E4. We obtain I, II, III, and IV fundamental forms of a factorable hypersurface. 
The fourth fundamental form of the torus hypersurface
(20201210)We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean space. We also compute I, II, III and IV fundamental forms of a torus hypersurface. 
On fourth fundamental form of the translation hypersurface
(20201210)We examine the fourth fundamental form of the translation hypersurface in the four dimensional Euclidean space. We also discuss I, II, III and IV fundamental forms of a translation hypersurface. 
Curvatures of the translation hypersurface in 4space
(20201210)We study curvatures C_i (i=1,2,3) of translation hypersurface in the four dimensional Euclidean space. We also give some relations on C_i of translation hypersurface. 
Helical hypersurfaces in minkowski geometry E^1_4
(Symmetry BaselMDPI, 20200723)We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski fourspace E41 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian ... 
Cardiohelicoidal surfaces
(20190906)Geometers have been working the curve theory and the surface theory for hundreds of years. We see good works for the theories in the literature. In this work, we introduce cardiohelicoidal surface in the three dimensional ... 
Deltohelicoidal surfaces
(20190906)The surface theory has been working by many mathematicians, and also geometers for hundreds of years. We meet nice papers and books for the theory in the literature. In this paper, we consider deltohelicoidal surface in ... 
Helicoidal surface of logaritmic spiral type in 3space
(International Conference on Computational Mathematics and Engineering Sciences, 2019)In this paper, we study the logaritmic spiraltype helicoidal surface in Euclidean 3space. We obtain logaritmic spiraltype helicoidal surface with some figures, and calculate its curvatures. 
Astrohelicoidal hypersurfaces in 4space
(International Conference on Mathematics and Mathematics Education, 2019)We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four dimensional Euclidean space E4. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the ... 
One sided Henry Smith surface
(International Conference on Computational Mathematics and Engineering Sciences, 2019)We focus differential geometry of the Henry Smith surface in the three dimensional Euclidean space. We calculate the Gaussian and the mean curvatures of the surface, drawing its figure. In addition, we find algebraic ... 
Astrohelicoidal surfaces
(International Conference on Mathematics and Mathematics Education, 2019)We construct an astrohelicoidal surface which its profile curve has astroid curve in the three dimensional Euclidean space E3. We also find Gaussian curvature and the mean curvature, and Weingarten relation of the surface ... 
Ulisse dinitype helicoidal hypersurface 4space
(Ordu Üniversitesi, 2018)We considerUlisse Dinitype helicoidal hypersurface in Euclidean 4space E4.We give some basic notions of the fourdimensional Euclidean geometry in section 2.In section 3, we consider Ulisse Dini helicoidal hypersurface.We ... 
Ulisse dinitype helicoidal surface in 3space
(Ordu Üniversitesi, 2018)In this talk, we study Ulisse Dinitype helicoidal surface in Euclidean 3space E³. We give some basic notions of the three dimensional Euclidean geometry in section 2. In section 3, we consider Ulisse Dini helicoidal ... 
Ennepertype surfaces in three dimensional Minkowski space
(International Conference on Recent Advances in Pure and Applied Mathematics, 2016)In this work, we study on anEnnepertypeminimal surfacesusing Weierstrass representation in the threedimensional Minkowskispace. We compute implicit equations, degree and class of the surfaces. 
A numerical investigation of VMSPOD model for darcybrinkman equations
(Proceedings of the World Congress on Engineering, 2018)We extend the variational multiscale proper orthogonal decomposition reduced order modeling (VMSPOD) to flows governed by double diffusive convection. We present stability and convergence analysis for it, and give results ... 
Euler spirals
(Kırşehir Ahi Ervan Üniversitesi, 2016) 
Helicoidal surfaces of value m
(Kyushu University, Instute of Mathematics for Industry, 2014)Abstract: We define a new kind helicoidal surface of value m. A rotational surface which is isometric to the helicoidal surface of value m is revealed. In addition, we calculate some differential geometric properties of ...