ON THE COTANGENT BUNDLE AND UNIT COTANGENT BUNDLE WITH A GENERALIZED CHEEGER-GROMOLL METRIC
Özet
In this paper, we consider a generalized Cheeger-Gromoll metric on a cotangent bundle over a Riemannian manifold, which is obtained by rescaling the vertical part of the Cheeger-Gromoll metric by a positive differentiable function. Firstly, we investigate the curvature properties on the cotangent bundle with the generalized CheegerGromoll metric. Secondly, we introduce the unit cotangent bundle equipped with this metric, where we present the formulas of the Levi-Civita connection and also all formulas of the Riemannian curvature tensors of this metric. Finally, we study the geodesics on the unit cotangent bundle with respect to this metric.
Anahtar kelimeler
Atıf için künye
Zagane, A., Djaa, N. E., & Gezer, A. (2023). ON THE COTANGENT BUNDLE AND UNIT COTANGENT BUNDLE WITH A GENERALIZED CHEEGER-GROMOLL METRIC. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 38(1), 153–178. https://doi.org/10.22190/fumi221101011z
BibTeX
@article{zagane2023-73732,
author = {Zagane, Abderrahim and Djaa, Nour Elhouda and Gezer, Aydın},
title = {ON THE COTANGENT BUNDLE AND UNIT COTANGENT BUNDLE WITH A GENERALIZED CHEEGER-GROMOLL METRIC},
journal = {FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS},
year = {2023},
volume = {38},
number = {1},
pages = {153--178},
issn = {0352-9665},
doi = {10.22190/fumi221101011z},
url = {https://akademik.atauni.edu.tr/yayinlar/73732-on-the-cotangent-bundle-and-unit-cotangent-bundle-with-a-generalized-cheeger}
}