Geodesic
F−geodesics on the second order tangent bundle over a Riemannian manifold
Filomat, Tome 37 (2023) no. 8, p. 2561

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DOI

Let (M,) be a Riemannian manifold and T 2 M be its second order tangent bundle. In this paper, we deal with certain characterizations of F−geodesics (which generalize both classical geodesics and magnetic curves) on the second order tangent bundle T 2 M and the hypersurface T 2 1,1 M with respect to some natural metrics.
DOI : 10.2298/FIL2308561D
Classification : 53C07, 53C22, 53C15
Keywords: F−geodesic, natural metrics, second order tangent bundle 
Nour Elhouda Djaa; Aydin Gezer; Kubra Karaca. F−geodesics on the second order tangent bundle over a Riemannian manifold. Filomat, Tome 37 (2023) no. 8, p. 2561 . doi: 10.2298/FIL2308561D
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     author = {Nour Elhouda Djaa and Aydin Gezer and Kubra Karaca},
     title = {F\ensuremath{-}geodesics on the second order tangent bundle over a {Riemannian} manifold},
     journal = {Filomat},
     pages = {2561 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308561D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308561D/}
}
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