3-Rotational Hypersurface Satisfying Delta^{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 give the i-th curvatures of x. In addition, we calculate the Laplace-Beltrami operator depends on the fourth fundamental form, and find Delta^{IV}x=Ax for some 6×6 matrix A in E⁶.
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Published
2026-03-26
Section
Research Articles
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