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[PDF] Hypersphere Having Δ II x= Ax in E 4

E Güler, K Yilmaz – Mathematica Pannonica, 2022

We consider hypersphere x= x (u, v, w) in the four dimensional Euclidean space. We calculate the Gauss map, and the curvatures of it. Moreover, we compute the second Laplace-Beltrami operator the hypersphere satisfying Δ II x= A x, where A ϵ Mat (4,4).