• Helicoidal surfaces of value (m,n) in 3-space 

      Güler, Erhan (Yıldız Teknik Üniversitesi, 2015)
      We define a new type helicoidal surface for natural numbers (m,n). We obtain a rotational surface which is isometric to the helicoidal surface of value (m,n) in three dimensional Euclidean space.
    • 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 ...
    • Enneper type surfaces in 4-space 

      Güler, Erhan; Kişi, Ömer; Saraçoğlu Çelik, Semra (Ahi Evran Üniversitesi, 2016)
    • 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.
    • Euler spirals 

      Saraçoğlu Çelik, Semra; Güler, Erhan; Kişi, Ömer (Kırşehir Ahi Ervan Üniversitesi, 2016)
    • Enneper-type surfaces in three dimensional Minkowski space 

      Güler, Erhan; Saraçoğlu Çelik, Semra; Kişi, Ömer (International Conference on Recent Advances in Pure and Applied Mathematics, 2016)
      In this work, we study on anEnneper-typeminimal surfacesusing Weierstrass representation in the threedimensional Minkowskispace. We compute implicit equations, degree and class of the surfaces.
    • Weierstrass representation, degree and classes of the surfaces in the four dimensional euclidean space 

      Güler, Erhan; Kişi, Ömer; Saraçoğlu, Semra (Mersin Üniversitesi, 2016)
      In this talk, we present on a minimal surface using Weierstrass representation inthe four dimensional Euclidean space. We compute implicit equations, degreeand class of the surface.
    • 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 ...
    • I-limit inferior and I-limit superior of sequences of sets 

      Kişi, Ömer; Nuray, Fatih (3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), 2016-08-29)
      In this talk, we extend the concepts of I-Limit superior and I-Limit inferior for reel number sequences to I-Limit superior and I-Limit inferior for sequences of sets, study their certain properties and establish some ...
    • Generalized helicoidal 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 ...
    • 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 ...
    • 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 ...
    • Differential equations on the rotational hypersurfaces in E5 

      Güler, Erhan; Kişi, Ömer (Mersin Üniversitesi, 2017)
    • σ-asymptotically lacunary statistical equivalent functions on amenable semigroups 

      Kişi, Ömer; Güler, Erhan (2ndInternational Conference on Analysis and Its Applications, 2017-05-03)
    • Torus-type helicoidal hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (Karaman Üniversitesi, 2018)
    • Helicoidal hypersurfaces in the four dimensional minkowski space 

      Güler, Erhan; Kaimakamis, George; Magid, Martin (Manisa Celal Bayar University, 2018)
      Helicoidal hypersurfaces in the four dimensional Minkowski space are defined. There are three types, depending on the axis of rotation. Equations for the Gaussian and mean curvature are derived and many ...
    • 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. ...
    • Helicoidal hypersurfaces of dini-type in the four dimensional minkowski space 

      Güler, Erhan; Kişi, Ömer (Karaman Üniversitesi, 2018)
      We define Ulisse Dini-type helicoidal hypersurfaces with spacelikeaxis in Minkowski 4-spaceE41. We compute the Gaussian and the mean curva-ture of the hypersurface. Moreover, we obtain some special symmetries to thecurvatures ...