The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
📌 3 Key Takeaways
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Objective & Hypothesis:The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
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Key Findings & Data:The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
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Conclusion & Impact:The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
Özet
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
AKBULUT, S., SALİMOV, A. A., ÖZDEMİR, M. (2022). Diagonal Lift in the Cotangent Bundle and its Applications. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 4, 491–502. https://ajindex.com/articles/608892