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 ...

The surface theory has been working by many mathematicians, and also geometers for hundreds of years. We meet nice papers and books for the theory in the literature. In this paper, we consider deltohelicoidal surface in ...

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 ...

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 ...

We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we give the Laplace-Beltrami ...

Geometers have been working the curve theory and the surface theory for hundreds of years. We see good works for the theories in the literature. In this work, we introduce cardiohelicoidal surface in the three dimensional ...

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 ...

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 ...

We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four dimensional Euclidean space E4. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the ...