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Browsing Matematik by Author "0000-0001-5273-7897"

Browsing Matematik by Author "0000-0001-5273-7897"

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  • The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space 
    Li, Yanlin; Eren, Kemal; Ayvaci, Kebire Hilal; Ersoy, Soley (AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD, 2023)
    In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenettype framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent developable surfaces, focal developable surfaces, and ...
  • ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME 
    Eren, Kemal; Ayvaci, Kebire Hilal; Senyurt, Suleyman (HONAM MATHEMATICAL SOC-GWANGJU, 2022)
    In this study, we investigate the explicit characterization of spherical curves using the Flc (Frenet like curve) frame in Euclidean 3-space. Firstly, the axis of curvature and the osculating sphere of a polynomial space ...
  • ON RULED SURFACES CONSTRUCTED BY THE EVOLUTION OF A POLYNOMIAL SPACE CURVE 
    Eren, Kemal; Ayvaci, Kebire Hilal; Senyurt, Sueleyman (EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE-TARGOVISTE, 2023)
    In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the ...
  • On Ruled Surfaces with a Sannia Frame in Euclidean 3-space 
    Senyurt, Suleyman; Eren, Kemal (KYUNGPOOK NATL UNIV, DEPT MATHEMATICS-TAEGU, 2022)
    In this paper we define a new family of ruled surfaces using an othonormal Sannia frame defined on a base consisting of the striction curve of the tangent, the princi-pal normal, the binormal and the Darboux ruled surface. ...
  • Simultaneous characterizations of partner ruled surfaces using Flc frame 
    Li, Yanlin; Eren, Kemal; Ayvaci, Kebire Hilal; Ersoy, Soley (AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD, 2022)
    In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and ...
  • A Study on Inextensible Flows of Polynomial Curves with Flc Frame 
    Senyurt, Suleyman; Eren, Kemal; Ayvaci, Kebire Hilal (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2022)
    In this paper, we investigate the inextensible flows of polynomial space curves in R-3. We calculate that the necessary and sufficient conditions for an inextensible curve flow are represented as a partial differential ...

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