Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3356
Abstract
Let $(H_{3},g_{1})$ and $(H_{3},g_{2})$ be the Lorentzian-Heisenberg spaces with nonflat metrics $g_{1}$ and $g_{2},\ $and $(TH_{3},g_{1}^{s}),\ (TH_{3},g_{2}^{s})$ be their tangent bundles with the Sasaki metric, respectively. In the present paper, we find nontotally geodesic distributions in tangent bundles by using lifts of contact forms from the base manifold $H_{3}.$We give examples for totally geodesic but not isocline distributions. We study the geodesics of tangent bundles by considering horizontal and natural lifts of geodesics of the base manifold $H_{3}$. We also investigate more general classes of geodesics which are not obtained from horizontal and natural lifts of geodesics.
Keywords
Geodesic, Lorentzian-Heisenberg space, tangent bundle
First Page
234
Last Page
247
Recommended Citation
ALTUNBAŞ, MURAT
(2023)
"Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces,"
Turkish Journal of Mathematics: Vol. 47:
No.
1, Article 15.
https://doi.org/10.55730/1300-0098.3356
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss1/15
