BI-ROTATIONAL HYPERSURFACE SATISFYING ∆ III x = x IN 4-SPACE

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

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Bibliographic Details
Published inHonam mathematical journal Vol. 44; no. 2; pp. 219 - 230
Main Authors Guler, Erhan, Yayli, Yusuf, Hacisalihoglu, Hasan Hilmi
Format Journal Article
LanguageKorean
Published 2022
Subjects
Gauss map
bi-rotational hypersurface
third Laplace-Beltrami operator
i-th curvature
Euclidean spaces
four space
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Summary:We examine the bi-rotational hypersurface x = x(u, v, w) with the third Laplace-Beltrami operator in the four dimensional Euclidean space 4. Giving the i-th curvatures of the hypersurface x, we obtain the third Laplace-Beltrami operator of the bi-rotational hypersurface satisfying ∆IIIx = x for some 4 × 4 matrix .
Bibliography:KISTI1.1003/JNL.JAKO202218852249815
ISSN:1225-293X