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, vol.46, no.6, pp.2167-2177, 2022 (SCI-Expanded) identifier identifier identifier

  • 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: 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 University Affiliated: Yes

Abstract

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.