3-Rotational Hypersurface Satisfying ?IV x = Ax in E6

Abstract

We introduce the tri-rotational hypersurface x(u,v,w,s,t) in six dimensional Euclidean space E6. We compute the curvatures of ?. In addition, we obtain the Laplace-Beltrami operator depends on the fourth fundamental form, and find ?IV X =Ax for a 6×6 matrix A in E6. © Soc. Paran. de Mat.