• Möbius-type hypersurface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi (Manisa Celal Bayar University, 2018)
      Möbius-type hypersurface in the four dimensional Euclidean space is defined. Equations for the Gaussian and mean curvature are derived and some examples of hypersurface are given.
    • New definitions about ai statistical convergence with respect to a sequence of modulus functions and lacunary sequences 

      Kişi, Ömer; Hafize, Gümüş; Savaş, Ekrem (International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), 2016-05-19)
      In this study, we introduce the notion of A^{I}-lacunary statistical convergence, strongly A^{I}-lacunary convergence with respect to a sequence of modulus functions. We study some collections between them. Also, we ...
    • New sequence spaces with respect to a sequence of modulus functions 

      Kişi, Ömer; Saraçoğlu Çelik, Semra; Güler, Erhan (3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), 2016-08-29)
      In this talk, we introduce the notion of AI-invariant statistical convergence, AI-lacunary invariant statistical convergence with respect to a sequence of modulus functions. We establish some inclusion relations between ...
    • A numerical investigation of VMS-POD model for darcy-brinkman equations 

      G. Eroglu, Fatma; Kaya, Songul; Rebholz, Leo (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 ...
    • On bour's minimal surface 

      Güler, Erhan (Ordu Üniversitesi, 2013)
    • On fourth fundamental form of the translation hypersurface 

      Güler, Erhan; Kişi, Ömer (2020-12-10)
      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.
    • On the gauss map of a class of hypersurfaces in H4 

      Turgay, Nurettin Cenk; Güler, Erhan (AIP Conf. Proc. 2037, 020026-1–020026-8, 2018)
      We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss mapor hyperbolic Gauss map. We give a brief summary of results on submanifolds withLkfinite type Gauss map fork>0. ...
    • On the gauss map of the rotational 3-surface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi (Amasya Üniversitesi, 2017)
      We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ...
    • On the mean gaussian second gaussian and the second mean curvature of the helicoidal surfaces with lightlike axis in R 1 3 

      Güler, Erhan; Turgut Vanlı, Aysel (Zonguldak Karaelmas Üniversitesi, 2006)
    • One sided Henry Smith surface 

      Güler, Erhan; Kişi, Ömer (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 ...
    • Polynomial zero mean curvature surfaces in minkowski 3-space 

      Güler, Erhan; Saraçoğlu Çelik, Semra (Yıldız Teknik Üniversitesi, 2015)
      We consider the family of the polynomial zero mean curvature surfaces in three dimensional Euclidean and Minkowski spaces and compute their classes, degrees and integral free representations.
    • Rotational hypersurface in 4-Space 

      Güler, Erhan; Magid, Martin; Yaylı, Yusuf (Ahi Evran Üniversitesi, 2016)
      We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we give the Laplace-Beltrami ...
    • Rotational hypersurfaces in E6 

      Güler, Erhan; Kişi, Ömer (Mersin Üniversitesi, 2018)
    • The second laplace-Beltrami operator on rotational hypersurfaces in the euclidean 4-space 

      Güler, Erhan; Kişi, Ömer (Yıldız Teknik Üniversitesi, 2017)
      We consider rotational hypersurface in the four dimensional Euclidean space. Wecalculate the mean curvature and the Gaussian curvature, and some relations of therotational hypersurface. Moreover, we de ne the second ...
    • TF-type hypersurfaces in 4-Space 

      Güler, Erhan; Kişi, Ömer; Saraçoğlu Çelik, Semra (Mersin Üniversitesi, 2016)
      We study on translation and factorable hypersurfaces in the four dimensional Euclidean space. We calculate implicit algebraic equations of the hypersurfaces.
    • Torus hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (Ahi Evran Üniversitesi, 2018)
      We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face. Finally, we define torus hypersurface, and calculate its curvatures with ...
    • Torus-type helicoidal hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (Karaman Üniversitesi, 2018)
    • A two parameter family of bour s surfaces in four space 

      Magid, Martin; Güler, Erhan (Bulgarian Academy of Sciences, 2015)
    • Ulisse dini-type helicoidal hypersurface 4-space 

      Güler, Erhan; Gümüşok Karaalp, Ayçın (Ordu Üniversitesi, 2018)
      We considerUlisse Dini-type helicoidal hypersurface in Euclidean 4-space 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 dini-type helicoidal surface in 3-space 

      Güler, Erhan; Gümüşok Karaalp, Ayçın (Ordu Üniversitesi, 2018)
      In this talk, we study Ulisse Dini-type helicoidal surface in Euclidean 3-space E³. We give some basic notions of the three dimensional Euclidean geometry in section 2. In section 3, we consider Ulisse Dini helicoidal ...