ON GENERALIZED SPHERICAL SURFACES IN EUCLIDEAN SPACES

In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean (n + 1)-space E n+1 . Further, we introduce some kind of generalized spherical surfaces in Euclidean spaces E 3 and E 4 respectively. We have shown that the generalized spherical surfaces of first kind in E 4 are known as rotational surfaces, and the second kind generalized spherical surfaces are known as meridian surfaces in E 4 . We have also calculated the Gaussian, normal and mean curvatures of these kind of surfaces. Finally, we give some examples.