The Second Laplace-Beltrami Operator on Rotational Hypersurfaces in the Euclidean 4-Space

Erhan GULER and ¨ Omer K Â

Abstract

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 Laplace-Beltrami operator and apply it to the rotational hypersurface.