Article
2024
·
0 citations
On structures in the semi-tangent bundle
Abstract
The main goal of this paper is to identify some important tensor structures in the semi-tangent bundle, to provide instances of these structures and to study lift problems in these structures. The definition of almost product, almost paracomplex, almost contact and almost paracontact structural geometry in a semi-tangent bundle is covered in this paper. Using the semi-tangent bundle theory, several properties of adapted frames are shown. Furthermore, the prolongations (horizontal lifts, complete lifts and vertical lifts) of affi nor fields in the semi-tangent bundle are used in this study to build almost product, almost complex and Lorentzian almost paracontact structures.
Keywords
Almost paracontact structure
complete lift
projectable linear connection
pull-back bundle
semi-tangent bundle
almost product structure
almost paracomplex structure
almost contact structure
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- FILOMAT
- Year
- 2024
- Volume
- 38
- Issue
- 22
- Pages
- 7797-7809
- ISSN
- 0354-5180
- DOI
- 10.2298/FIL2422797Y
- WoS UID
- WOS:001372805900001