Browsing Matematik Bölümü Makale Koleksiyonu by Issue Date
Now showing items 1-20 of 54
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Bour's theorem in Minkowski 3-space
(Kyoto Journal of Mathematics, 2006)In this study, we show that a Generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the Helicoid correspond to parallel circles on the rotation surface in three dimensional ... -
On the mean gaussian second gaussian and the second mean curvature of the helicoidal surfaces with lightlike axis in R 1 3
(2008)In this paper, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type IV+ is obtained in Minkowski 3-space. In addition, some relations between the mean, Gauss, the second ... -
Bour s theorem on timelike helicoidal surfaces with L L type in Minkowski 3 space
(Beykent University, 2008) -
Bour s theorem on gauss map in 3 euclidean space
(Hacettepe Üniversitesi, 2010)In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given. -
III laplace beltrami and (S,L)-type rotational surface
(Longdom Publishing SL, 2012)We study on the third Laplace-Beltrami operator of timelike rotational surface of (S,L)-type in three dimensional Minkowski space. -
New convergence definitions for sequences of sets
(Abstract and Applied Analysis, 2013-09)Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman ---convergence and Wijsman --∗-convergence for sequences of sets and establish some basic theorems. ... -
A new kind of helicoidal surface of value m
(2014)We define a new kind of 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 the ... -
Quasi harmonic Bézier approximation of minimal surfaces for finding forms of structural membranes
(Elsevier, 2015)Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic ... -
Generalized bour s theorem
(Kuwait Journal of Science, 2015)We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces. -
I asymptotically lacunary equivalent set sequences defined by a modulus function
(Acta Universitatis Apulensis, 2015-03) -
Lacunary ideal convergence of double set sequences
(General Mathematics Notes, 2015-08) -
On I2 asymptotically λ2 statistical equivalent double sequences
(Konuralp Journal of Mathematics, 2015-10) -
On generalized euler spirals in E3
(2016)The Cornu spirals on plane are the curves whose curvatures are linear. Generalized planar cornu spirals and Euler spirals in E3, the curves whose curvatures are linear are deÖned in [1,5]. In this study, these curves are ... -
Some characterizations of euler spirals In E3_1
(2016)In this study, some characterizations of Euler spirals in E3_1 have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the ... -
Bour surface companions in non Euclidean space forms
(Geometry, Integrability and Quantization, 2016)In this paper, we give explicit parametrizations for Bour type surfaces in various three-dimensional space forms, using Weierstrass-type representations. We also determine classes and degrees of some Bour type zero mean ... -
On wijsman I2 lacunary statistical convergence for double set sequences
(Fasciculi Mathematici, 2016-12) -
Weierstrass representation degree and classes of the surfaces in the four dimensional Euclidean space
(Celal Bayar University, 2017)We study two parameters families of Bour-type and Enneper-type minimal surfaces using the Weierstrass representation in the four dimensional Euclidean space. We obtain implicit algebraic equations, degree and classes of ... -
Rotational hypersurfaces in S3(r)XR product space
(Sakarya University Journal of Science, 2017)We consider rotational hypersurfaces in S3(r)XR product space of five dimensional Euclidean space E^5. We calculate the mean curvature and the Gaussian curvature, and give some results.
