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

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OCAK F.

Advanced Studies: Euro-Tbilisi Mathematical Journal, vol.18, no.1, pp.173-184, 2025 (Scopus)

• Publication Type: Article / Article
• Volume: 18 Issue: 1
• Publication Date: 2025
• Doi Number: 10.32513/asetmj/1932200825011
• Journal Name: Advanced Studies: Euro-Tbilisi Mathematical Journal
• Journal Indexes: Scopus
• Page Numbers: pp.173-184
• Keywords: Cheeger-Gromoll metric, Cotangent bundle, Schouten-Van Kampen connection, Vrănceanu connection
• Karadeniz Technical University Affiliated: Yes

Abstract

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.