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, cilt.32, ss.33-46, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32
  • Basım Tarihi: 2025
  • Doi Numarası: 10.7546/giq-32-2025-33-46
  • Dergi Adı: Geometry, Integrability and Quantization
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.33-46
  • Anahtar Kelimeler: Curvature, four-dimension, Laplace-Beltrami operator, pseudo-Euclidean space, rotational hypersurface
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.