W8-Curvature tensor on a complex contact space form

Alkaya G., VANLI A.

International Journal of Geometric Methods in Modern Physics, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887825501464
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Complex contact manifold, complex contact space form, Einstein manifold, flat, mixed generalized quasi-Einstein manifold, semi-symmetric, W8-curvature tensors
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we study the curvature properties of the W8-curvature tensor on a complex contact space form. The conditions for a complex contact space form to be ζ-W8-flat, GH-W8-semi-symmetric, W8Q = 0, and W8(ζ,C1) S= 0 are investigated. In addition, we prove that both ζ-W8-flat and W8(ζ,C1)S = 0 conditions are a mixed generalized quasi-Einstein manifold, and GH-W8-semi-symmetric and W8Q= 0 conditions are an Einstein manifold for a complex contact space form.