F−geodesics on the second order tangent bundle over a Riemannian manifold

Djaa, Nour; Gezer, Aydın; Karaca, Kubra

doi:10.2298/fil2308561d

F−geodesics on the second order tangent bundle over a Riemannian manifold

Djaa N. E., Gezer A., Karaca K.

Filomat, cilt.37, sa.8, ss.2561-2576, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 37 Sayı: 8
Basım Tarihi: 2023
Doi Numarası: 10.2298/fil2308561d
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.2561-2576
Anahtar Kelimeler: F-geodesic, natural metrics, second order tangent bundle
Atatürk Üniversitesi Adresli: Evet

Özet

© 2023, University of Nis. All rights reserved.Let (M, g) be a Riemannian manifold and T2 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 T2 M and the hypersurface T2 M with respect to some 1,1 natural metrics.