• 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 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)
    • Decoupled modular regularized vms-pod for darcy-brinkman equations 

      Güler Eroğlu, Fatma; Kaya, Songül; Rebholz, Leo G. (IAENG International Journal of Applied Mathematics, 2019)
      We extend the post-processing implementation of a projection based variational multiscale (VMS) method with proper orthogonal decomposition (POD) to flows governed by double diffusive convection. In the method, the ...
    • 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.
    • A generalized statistical convergence via ideals in 2-normed spaces 

      Kişi, Ömer (Longdom Publishing SL, 2018-06)
    • 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 asymptotically lacunary equivalent set sequences defined by a modulus function 

      Kişi, Ömer; Gümüş, Hafize; Nuray, Fatih (Acta Universitatis Apulensis, 2015-03)
    • 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 ...
    • I-cesàro summability of sequences of sets 

      Kişi, Ömer; Ulusu, Uğur (Electronic Journal of Mathematical Analysis and Applications, 2017-01)
      In this paper, we de ned concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability, Wijsman strongly I-lacunary summability, ...
    • I2-λ-statistically convergence of double sequences in fuzzy normed spaces 

      Kişi, Ömer (Journal of Intelligent Fuzzy Systems, 2019-04)
      In this paper, we have investigated I2-λ-statistically convergence for double sequences in fuzzy normed linear spaces, where λ = (λr) and μ = (μs) be two non-decreasing sequences of positive real numbers, each tending to ...