TURKISH JOURNAL OF MATHEMATICS, vol.46, no.6, pp.2167-2177, 2022 (SCI-Expanded)
We consider the birotational hypersurface x(u, v, w) with the second Laplace-Beltrami operator in the four dimensional Euclidean space E-4. We give the i -th curvatures of x. In addition, we compute the second Laplace-Beltrami operator of the birotational hypersurface satisfying Delta(II) x =Ax for some 4 x 4 matrix A.