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Generalized helicoidal 3-surface in 4-space
(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
(2018)
We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean curvature and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we define the second ...
Torus-type helicoidal hypersurface in 4-space
(Karaman Üniversitesi, 2018)
Weierstrass representation degree and classes of the surfaces in the four dimensional Euclidean space
(Celal Bayar University, 2017)
We study two parameters families of Bour-type and Enneper-type minimal surfaces using the Weierstrass representation in the four dimensional Euclidean space. We obtain implicit algebraic equations, degree and classes of ...
The second laplace-Beltrami operator on rotational hypersurfaces in the euclidean 4-space
(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 ...
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 ...
On the gauss map of the rotational 3-surface in 4-space
(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 ...
TF-type hypersurfaces in 4-Space
(Mersin Üniversitesi, 2016)
We study on translation and factorable hypersurfaces in the four dimensional Euclidean space. We calculate implicit algebraic equations of the hypersurfaces.
Weierstrass representation, degree and classes of the surfaces in the four dimensional euclidean space
(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.
Curvatures of the translation hypersurface in 4-space
(2020-12-10)
We study curvatures C_i (i=1,2,3) of translation hypersurface in the four dimensional Euclidean space. We
also give some relations on C_i of translation hypersurface.