Honam Mathematical Journal (호남수학학술지)

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LAPLACE-BELTRAMI MINIMALITY OF TRANSLATION HYPERSURFACES IN E4

  • Ahmet Kazan (Dogansehir Vahap, Kucuk Vocational School, Malatya Turgut Ozal University) ;
  • Mustafa Altin (Technical Sciences Vocational School, Bingol University)
  • Received : 2023.01.02
  • Accepted : 2023.01.25
  • Published : 2023.06.01
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Abstract

In the present paper, we study translation hypersurfaces in E4. In this context, firstly we obtain first, second and third Laplace-Beltrami (LBI, LBII and LBIII) operators of the translation hypersurfaces in E4. By solving second and third order nonlinear ordinary differential equations, we prove theorems that contain LBI-minimal, LBII-minimal and LBIII-minimal translation hypersurfaces in E4.

Keywords

References

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