Birotational hypersurface and the second Laplace–Beltrami operator in the four dimensional Euclidean space E4
Turkish Journal of Mathematics, cilt.46, sa.6, ss.2167-2177, 2022 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 6
- Basım Tarihi: 2022
- Doi Numarası: 10.55730/1300-0098.3261
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.2167-2177
- Anahtar Kelimeler: Birotational hypersurface, Euclidean spaces, Four space, Gauss map, I-th curvature, Second laplace– beltrami operator
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© 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