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Toplam kayıt 18, listelenen: 11-18
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 ...
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 ...
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 ...
Astrohelicoidal surfaces
(International Conference on Mathematics and Mathematics Education, 2019)
We construct an astrohelicoidal surface which its profile curve has astroid curve
in the three dimensional Euclidean space E3. We also find Gaussian curvature and the mean curvature, and Weingarten relation of the surface ...
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 ...
Generalized bour s theorem
(Kuwait Journal of Science, 2015)
We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.
Dini-type helicoidal hypersurfaces with timelike axis in minkowski 4-space E14
(Mathematics, 2019)
We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41 . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ...