Ara
Toplam kayıt 8, listelenen: 1-8
A new kind of helicoidal surface of value m
(2014)
We define a new kind of helicoidal surface of value m. A rotational surface which is isometric to the helicoidal surface of value m is revealed. In addition, we calculate some differential geometric properties of the ...
Bour s theorem on gauss map in 3 euclidean space
(Hacettepe Üniversitesi, 2010)
In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given.
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 ...
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 ...