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Lacunary I₂-invariant convergence of double sequences in random 2-normed spaces
(Proceedings of The International Conference on Mathematical Studies and Applications, 2018-10-04)
In this study, we introduce the concept of lacunary I2-invariant convergence, lacunary
I*2 -invariant convergence and lacunary I2-invariant Cauchy for double sequences in the
topology introduced by random 2-normed spaces. ...
Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
(2018)
Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ...
Torus hypersurface in 4-space
(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 ...
Lacunary I₂-invariant convergence of double sequences of functions on amenable semigroups
(Karamanoğlu Mehmetbey Üniversitesi, 2018-10-04)
In this study, we introduce the concept of lacunary I2-invariant convergence, lacunary
I∗2-invariant convergence and lacunary I2-invariant Cauchy for double sequences in the
topology introduced by random 2-normed spaces. ...
Ulisse dini-type helicoidal surface in 3-space
(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 ...
Cheng-yau operator and gauss map of rotational hypersurfaces in the four dimensional euclidean space
(Manisa Celal Bayar University, 2018)
We consider rotational hypersurface in the four dimensional Euclidean space 4E. We study the Gauss map G of rotational hypersurface in 4E with respect to the so-called Cheng-Yau operator 1L acting on the functions ...
Möbius-type hypersurface in 4-space
(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.
Rotational hypersurfaces in E6
(Mersin Üniversitesi, 2018)
Isometric deformation of (m, n)-type helicoidal surface in the three dimensional euclidean space
(2018)
We consider a new kind of helicoidal surface for natural numbers (m, n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value ...
The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space
(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 ...