Special linear connections on the cotangent bundle with respect to the Cheeger-Gromoll metric

OCAK F.

Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.18, sa.1, ss.173-184, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.32513/asetmj/1932200825011
  • Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.173-184
  • Anahtar Kelimeler: Cheeger-Gromoll metric, Cotangent bundle, Schouten-Van Kampen connection, Vrănceanu connection
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Let (M, g) be an n-dimensional differentiable Riemannian manifold and T∗M be its cotangent bundle equipped with the Cheeger-Gromoll metric CGg. In this article, we investigate some applications of special linear connections, such as the Schouten-Van Kampen and Vrănceanu connections associated with the Levi-Civita connection of the Cheeger-Gromoll metric CGg on T∗M.