A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric
Özet
In this paper, we introduce a vertical generalized Berger type deformed Sasaki metric on the tangent bundle T M over an anti-paraKähler manifold as a new natural metric. Firstly, we investigate the Levi-Civita connection of this metric and then we calculate all forms of the Riemannian curvature tensors. Also, we present some results concerning curvature properties. Finally, we study the geometry of φ-unit tangent bundle equipped with the vertical generalized Berger type deformed Sasaki metric.
Anahtar kelimeler
Atıf için künye
Chaoui, S., Zagane, A., Gezer, A., & Djaa, N. E. (2023). A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 52(5), 1179–1197. https://doi.org/10.15672/hujms.1091758
BibTeX
@article{chaoui2023-73699,
author = {Chaoui, Saadia and Zagane, Abderrahim and Gezer, Aydın and Djaa, Nour Elhouda},
title = {A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric},
journal = {HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS},
year = {2023},
volume = {52},
number = {5},
pages = {1179--1197},
issn = {2651-477X},
doi = {10.15672/hujms.1091758},
url = {https://akademik.atauni.edu.tr/yayinlar/73699-a-study-on-the-tangent-bundle-with-the-vertical-generalized-berger-type-deformed}
}