Yazar "Güler, Erhan" için Matematik Bölümü Makale Koleksiyonu listeleme
Toplam kayıt 34, listelenen: 1-20
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A study on the fourth fundamental form of the factorable hypersurface
Güler, Erhan (2020-12-10)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. -
Bour s theorem on gauss map in 3 euclidean space
Güler, Erhan; Yaylı, Yusuf; Hacısalihoğlu, Hasan Hilmi (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. -
Bour s theorem on timelike helicoidal surfaces with L L type in Minkowski 3 space
Güler, Erhan (Beykent University, 2008) -
Bour surface companions in non Euclidean space forms
Güler, Erhan; Konnai, Shotaro; Yasumoto, Masashi (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 ... -
Bour's theorem in Minkowski 3-space
Güler, Erhan; Turgut Vanlı, Aysel (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 ... -
Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space
Güler, Erhan; Turgay, Nurettin Cenk (Springer, 2019)We consider rotational hypersurface in the four-dimensional Euclidean space E4. We study the Gauss map G of rotational hypersurface in E4 with respect to the so-called Cheng–Yau operator L1 acting on the functions defined ... -
Curvatures of the factorable hypersurface
Güler, Erhan (2020-12-10) -
Dini-type helicoidal hypersurfaces with timelike axis in minkowski 4-space E14
Güler, Erhan; Kişi, Ömer (Mathematics, 2019)We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41 . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ... -
Family of enneper minimal surfaces
Güler, Erhan (Mathematics, 2018)We consider a family of higher degree Enneper minimal surface Em for positive integers m in the three-dimensional Euclidean space E3. We compute algebraic equation, degree and integral free representation of Enneper minimal ... -
Fundamental form IV and curvature formulas of the hypersphere
Güler, Erhan (2020-11-26)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. ... -
The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space
Güler, Erhan; Hacısalihoğlu, Hasan Hilmi; Kim, Young Ho (2018)We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ... -
Generalized bour s theorem
Güler, Erhan; Yaylı, Yusuf (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. -
Helical hypersurfaces in minkowski geometry E^1_4
Güler, Erhan (Symmetry- Basel-MDPI, 2020-07-23)We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski four-space E41 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian ... -
Henneberg’s algebraic surfaces in minkowski 3-space
Güler, Erhan; Zambak, Vahit (2019)We consider the Henneberg's algebraic zero mean curvature surfaces in three dimensional Minkowski space, and compute their classes, degrees and integral free representations. We also draw some figures of the algebraic surfaces. -
I-cesaro summability of a sequence of order α of random variables in probability
Kişi, Ömer; Güler, Erhan (Fundamental Journal of Mathematics and Applications, 2018-12)In this paper, we define four types of convergence of a sequence of random variables, namely, I-statistical convergence of order a, I-lacunary statistical convergence of order a, strongly I-lacunary convergence of order ... -
III laplace beltrami and (S,L)-type rotational surface
Güler, Erhan (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. -
Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
Güler, Erhan; Kişi, Ömer; Konaxis, Christos (2018)Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ... -
Isometric deformation of (m, n)-type helicoidal surface in the three dimensional euclidean space
Güler, Erhan (2018)We consider a new kind of helicoidal surface for natural numbers (m, n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value ... -
Laplace Beltrami operator of a helicoidal hypersurface in four space
Güler, Erhan; Magid, Martin; Yaylı, Yusuf (2016) -
A new kind of helicoidal surface of value m
Güler, Erhan (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 ...