Yazar "Sarioglugil, Ayhan" için listeleme
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The Discriminant of the Second Fundamental Forms Under Connection Preserving Map
Bayar, Feray; Sarioglugil, Ayhan (Editura Bibliotheca-Bibliotheca Publ House, 2017)Let : f : E-n -> E-n be an isometric immersion provided f(M) = (M) over bar where M and (M) over bar are (n -1)-dimensional Riemannian manifolds. We study the discriminant of the second fundamental forms and also being ... -
The Evolute Surface of A Surface Which Parameter Lines Are Lines of Curvature in E-4
Tul, Sidika; Sarioglugil, Ayhan (Editura Bibliotheca-Bibliotheca Publ House, 2017)In this study it is searched that how the evolute surface of a surface, which is given parameter lines are lines of curvature in E-4 is constructed. Then, the Gaussian curvature and the mean curvature of the evolute surface ... -
On Integral Invariants of Ruled Surfaces Generated By the Darboux Frames of the Transversal Intersection Curve of Two Surfaces in E-3
As, Engin; Sarioglugil, Ayhan (Editura Bibliotheca-Bibliotheca Publ House, 2016)In this paper, the some characteristic properties of ruled surfaces which are generated by the Darboux frame of the transversal intersection curve of two surfaces were given in 3-dimensional Euclidean space E-3. Also, the ... -
On Parallel Type Surfaces in E-4
Tul, Sidika; Sarioglugil, Ayhan (Amer Inst Physics, 2016)Firstly, in this study it is searched that how the parallel type surface of a surface, which is given parameter lines are lines of curvature in E-4 is constructed. Then, the coefficients of the first and the second fundamental ... -
On Relaxed Elastic Lines of the Second Type on an Oriented Surface in the Galilean Space G(3)
Sarioglugil, Ayhan; Stachel, Hellmuth; Tutar, Ayhan (Springer Basel Ag, 2017)In the present paper, the relaxed elastic line of the second type on an oriented surface in the Galilean space G(3) is defined. For the relaxed elastic lines of the second type which are lying on a given oriented surface ... -
On the Normal Curvatures of Hypersurfaces Under the Conformal Maps
Bayar, Feray; Sarioglugil, Ayhan (Editura Bibliotheca-Bibliotheca Publ House, 2016)In this paper, the normal curvatures of hypersurfaces are investigated under conformal, homothety and isometry maps. At first, an equation is obtained between normal curvatures of hypersurfaces, if conformal map which ... -
Relations Between the Frames of A Curve and Its Pedal in E-3
Bayar, Feray; Tul, Sidika; Sarioglugil, Ayhan (Editura Bibliotheca-Bibliotheca Publ House, 2019)The main goal of this paper using the Bishop frame and the Frenet-Serret frame vectors of the given space curve with the constant support function, some characteristic properties of the pedal curve of its are investigated. ... -
Relaxed elastic lines of second kind on oriented surface in Minkowski space
Tutar, Ayhan; Sarioglugil, Ayhan (Shanghai Univ, 2006)The relaxed elastic line of second kind on an oriented surface in the Minkowski space was defined and for the relaxed elastic line of second kind which is lying on an oriented surface the Euler-Lagrange equations were ...
