Horizontal lift of symmetric connections to the bundle of volume forms \(\mathcal{V}\)
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| 1. | Title | Title of document | Horizontal lift of symmetric connections to the bundle of volume forms \(\mathcal{V}\) |
| 2. | Creator | Author's name, affiliation, country | Anna Gasior; M. Curie-Sklodowska University; Poland |
| 3. | Subject | Discipline(s) | |
| 3. | Subject | Keyword(s) | Horizontal lift; \(\pi\)-conjugate connection; Killing field; infinitesimal transformation; \(F(3, 1)\)-structure; FK, FAK, FNK, FQK, FH-structure |
| 4. | Description | Abstract | In this paper we present the horizontal lift of a symmetric affine connection with respect to another affine connection to the bundle of volume forms \(\mathcal{V}\) and give formulas for its curvature tensor, Ricci tensor and the scalar curvature. Next, we give some properties of the horizontally lifted vector fields and certain infinitesimal transformations. At the end, we consider some substructures of a \(F(3, 1)\)-structure on \(\mathcal{V}\). |
| 5. | Publisher | Organizing agency, location | www.wydawnictwo.umcs.lublin.pl |
| 6. | Contributor | Sponsor(s) | |
| 7. | Date | (YYYY-MM-DD) | 2016-07-29 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Uniform Resource Identifier | https://journals.umcs.pl/a/article/view/3993 |
| 10. | Identifier | Digital Object Identifier (DOI) | http://dx.doi.org/10.2478/v10062-010-0004-z |
| 11. | Source | Title; vol., no. (year) | Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010) |
| 12. | Language | English=en | en |
| 13. | Relation | Supp. Files | |
| 14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
| 15. | Rights | Copyright and permissions |
Copyright (c) 2010 Anna Gasior This work is licensed under a Creative Commons Attribution 4.0 International License. |