Honam Mathematical Journal (호남수학학술지)

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BI-ROTATIONAL HYPERSURFACE SATISFYING ∆IIIx =𝒜x IN 4-SPACE

  • Received : 2021.12.03
  • Accepted : 2022.04.15
  • Published : 2022.06.25
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Abstract

We examine the bi-rotational hypersurface x = x(u, v, w) with the third Laplace-Beltrami operator in the four dimensional Euclidean space 𝔼4. Giving the i-th curvatures of the hypersurface x, we obtain the third Laplace-Beltrami operator of the bi-rotational hypersurface satisfying ∆IIIx =𝒜x for some 4 × 4 matrix 𝒜.

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References

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