ON A PARTICULAR TYPE OF SPACE-LIKE ROTATIONAL HYPERSURFACES IN PSEUDO-EUCLIDEAN 4-SPACE E42

Güler E., YAYLI Y., HACISALİHOĞLU H. H.

Geometry, Integrability and Quantization, vol.32, pp.33-46, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 32
  • Publication Date: 2025
  • Doi Number: 10.7546/giq-32-2025-33-46
  • Journal Name: Geometry, Integrability and Quantization
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.33-46
  • Keywords: Curvature, four-dimension, Laplace-Beltrami operator, pseudo-Euclidean space, rotational hypersurface
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this study, a particular type of rotational hypersurface, is examined within the framework of the four-dimensional pseudo-Euclidean space E42. The curvatures of the hypersurface are formulated. Furthermore, the associated Laplace-Beltrami operator is computed, and it is demonstrated that the hypersurface satisfies the eigenvalue equation ∆x = Ax, where A is a constant 4 × 4 matrix.