| Title:
|
Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold (English) |
| Author:
|
Janyška, Josef |
| Author:
|
Modugno, Marco |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
281-288 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients). (English) |
| Keyword:
|
tangent bundle |
| Keyword:
|
jet bundle |
| Keyword:
|
connection |
| Keyword:
|
natural operator. |
| MSC:
|
53C05 |
| MSC:
|
53C15 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0881.53015 |
| idMR:
|
MR1441399 |
| . |
| Date available:
|
2008-06-06T21:31:30Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107581 |
| . |
| Reference:
|
[1] D. Canarutto A. Jadczyk M. Modugno: Quantum mechanics of a spin particle in a curved spacetime with absolute time.Rep. on Math. Phys., 36, 1 (1995), 95–140. MR 1377229 |
| Reference:
|
[2] A. Jadczyk M. Modugno: An outline of a new geometric approach to Galilei general relativistic quantum mechanics.in C.N. Yang, M.L. Ge and X. W. Zhou editors, Proc. XXI Int. Conf. on Differential geometric methods in theoretical physics, Tianjin 5-9 June 1992, 543-556, Singapore, 1992, World Scientific. |
| Reference:
|
[3] A. Jadczyk M. Modugno: Galilei general relativistic quantum mechanics.book manuscript, 1994. |
| Reference:
|
[4] I. Kolář P. W. Michor J. Slovák: Natural Operations in Differential Geometry.Springer–Verlag, 1993. MR 1202431 |
| Reference:
|
[5] D. Krupka J. Janyška: Lectures on Differential Invariants.Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno, 1990. MR 1108622 |
| Reference:
|
[6] L. Mangiarotti M. Modugno: Connections and differential calculus on fibred manifolds.Istituto di Matematica Applicata “G. Sansone”, Università di Firenze, 1989. |
| Reference:
|
[7] A. Nijenhuis: Natural bundles and their general properties.Diff. Geom., in honour of K. Yano, Kinokuniya, Tokyo 1972, pp. 317–334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[8] J. Slovák: On the finite order of some operators.Proc. Conf. Diff. Geom. and Its Appl. (communications), Brno 1986, Published by J. E. Purkyně University 1987, 283-294. MR 0923390 |
| . |
