ON A CERTAIN CLASS OF ROTATIONAL HYPERSURFACES SATISFYING ∆x = Ax IN THE SIX-DIMENSIONAL EUCLIDEAN SPACE

Güler E., YAYLI Y., Hacisalihoğlu H. H.

Romanian Journal of Mathematics and Computer Science, cilt.15, sa.2, ss.46-54, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2025
  • Dergi Adı: Romanian Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.46-54
  • Anahtar Kelimeler: 6-space, curvature, Laplace–Beltrami operator, rotational hypersurface
  • Ankara Üniversitesi Adresli: Evet

Özet

A specific class of rotational hypersurfaces x with five parameters in the six-dimensional Euclidean space E6 is investigated. The curvature functions associated with these hypersurfaces are explicitly computed, and their geometric properties are examined. Furthermore, the action of the Laplace–Beltrami operator on such hypersurfaces is analyzed, and the conditions under which the relation ∆x = Ax holds for a 6 × 6 matrix A are determined.