Birotational hypersurface and the second Laplace–Beltrami operator in the four dimensional Euclidean space E4
Turkish Journal of Mathematics, vol.46, no.6, pp.2167-2177, 2022 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 46 Issue: 6
- Publication Date: 2022
- Doi Number: 10.55730/1300-0098.3261
- Journal Name: Turkish Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.2167-2177
- Keywords: Birotational hypersurface, Euclidean spaces, Four space, Gauss map, I-th curvature, Second laplace– beltrami operator
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
© This work is licensed under a Creative Commons Attribution 4.0 International LicenseWe consider the birotational hypersurface x(u, v,w) with the second Laplace–Beltrami operator in the four dimensional Euclidean space E4. We give the i -th curvatures of x. In addition, we compute the second Laplace–Beltrami operator of the birotational hypersurface satisfying ΔIIx =Ax for some 4 × 4 matrix A