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 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
Abstract
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