Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space E-4

GÜLER E., YAYLI Y., Hacisalihoglu H. H.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.6, ss.2167-2177, 2022 (SCI-Expanded) identifier identifier identifier

  • 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: Euclidean spaces, four space, birotational hypersurface, Gauss map, i-th curvature, second Laplace-Beltrami operator, GENERAL ROTATIONAL SURFACES, TENSOR PRODUCT SURFACES, 1-TYPE GAUSS MAP, 2-TYPE SURFACES, SUBMANIFOLDS, EXTENSION, E-1(4), AR
  • Ankara Üniversitesi Adresli: Evet

Özet

We consider the birotational hypersurface x(u, v, w) with the second Laplace-Beltrami operator in the four dimensional Euclidean space E-4. We give the i -th curvatures of x. In addition, we compute the second Laplace-Beltrami operator of the birotational hypersurface satisfying Delta(II) x =Ax for some 4 x 4 matrix A.