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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 ...
Helicoidal hypersurfaces in the four dimensional minkowski space
(Manisa Celal Bayar University, 2018)
Helicoidal hypersurfaces in the four dimensional Minkowski space are defined. There are three types, depending on the axis of rotation. Equations for the Gaussian and mean curvature are derived and many ...
Ulisse dini-type helicoidal hypersurface 4-space
(Ordu Üniversitesi, 2018)
We considerUlisse Dini-type helicoidal hypersurface in Euclidean 4-space E4.We give some basic notions of the fourdimensional Euclidean geometry in section 2.In section 3, we consider Ulisse Dini helicoidal hypersurface.We ...
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 ...
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 ...