UNIT TANGENT SPHERE BUNDLES WITH THE KALUZA-KLEIN METRIC SATISFYING SOME COMMUTATIVE CONDITIONS

Creative Commons License

ALTUNBAŞ M.

International Journal of Maps in Mathematics, cilt.8, sa.1, ss.326-333, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: International Journal of Maps in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.326-333
  • Anahtar Kelimeler: contact metric structure, Kaluza-Klein metric, Ricci operator, Tangent sphere bundle
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

Let (M, g) be an n−dimensional Riemannian manifold and T1M its tangent sphere bundle with the contact metric structure (Formula Presented), where (Formula Presented) is the Kaluza-Klein metric. Let (Formula Presented) be the Ricci operator and h be the structural operator on T1M. In this paper, we find some conditions for the relations (Formula Presented) to be satisfied.