| Title:
|
Connections on some functional bundles (English) |
| Author:
|
Cabras, Antonella |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
529-548 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| MSC:
|
58B10 |
| MSC:
|
58B99 |
| MSC:
|
58D15 |
| idZBL:
|
Zbl 0851.58007 |
| idMR:
|
MR1344519 |
| DOI:
|
10.21136/CMJ.1995.128542 |
| . |
| Date available:
|
2009-09-24T09:50:24Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128542 |
| . |
| Reference:
|
[1] A. Cabras, D. Canarutto, I. Kolář and M. Modugno: Structured bundles.Pitagora Editrice, Bologna, 1991, pp. 1–100. |
| Reference:
|
[2] C. Ehresmann: Sur les connexions d’ordre supérieur.Atti V. Cong. Un. Mat. Italiana, Pavia-Torino, 1956, pp. 326–328. |
| Reference:
|
[3] A. Frölicher: Smooth structures.Category theory 1981, LNM 962, Springer-Verlag, 1982, pp. 69–81. MR 0682945 |
| Reference:
|
[4] A. Jadczyk and M. Modugno: An outline of a new geometrical approach to Galilei general relativistic quantum mechanics.(to appear). |
| Reference:
|
[5] A. Jadczyk and M. Modugno: Galilei general relativistic quantum mechanics.Book in preparation. |
| Reference:
|
[6] J. Janyška: Geometric properties of prolongation functors.Čas. pěst. mat. 110 (1985), 77–86. MR 0791280 |
| Reference:
|
[7] I. Kolář: Higher order torsions of spaces with Cartan connections.Cahiers Topol. Géom. Diff. 12 (1971), 137–146. MR 0315619 |
| Reference:
|
[8] I. Kolář: On the second tangent bundle and generalized Lie derivatives.Tensor, N.S. 38 (1982), 98–102. MR 0832633 |
| Reference:
|
[9] I. Kolář: Higher order absolute differentiation with respect to generalized connections.Diff. Geom. Banach Center Publications, 12, PWN-Polish Scientific Publishers, Warsaw, 1984, pp. 153–161. MR 0961078 |
| Reference:
|
[10] I. Kolář, P.W. Michor and J. Slovák: Natural Operations in Differential Geometry.Springer-Verlag, 1993. MR 1202431 |
| Reference:
|
[11] Y. Kosmann-Schwarzbach: Vector fields and generalized vector fields on fibred manifolds.LNM 792, Springer-Verlag, 1980, pp. 307–355. MR 0585879 |
| Reference:
|
[12] L. Mangiarotti and M. Modugno: Fibered spaces, Jet spaces and Connections for Field Theories.Proceeding of Meeting at Florence, 1982 Pitagora Editrice (1983), Bologna, 135–165. MR 0760841 |
| Reference:
|
[13] M. Modugno: Systems of vector valued forms on a fibred manifold and applications to gauge theories.Lect Notes in Math. 1251, Springer-Verlag, 1987, pp. 238–264. Zbl 0614.53072, MR 0897122 |
| Reference:
|
[14] M. Modugno: Torsion and Ricci tensor for non-linear connections.Diff. Geom. and Appl. 1 (1991), no. 2, 177–192. MR 1244443, 10.1016/0926-2245(91)90030-D |
| Reference:
|
[15] J. Pradines: Représentation des jets non holonomes par des morphisms vectoriels doubles soudés.série A 278, CRAS, Paris, 1974, pp. 1523–1526. MR 0388432 |
| Reference:
|
[16] J. Slovák: Smooth structures on fibre jet spaces.Czech. Math. Journ. 36 (1986), 358–375. MR 0847766 |
| Reference:
|
[17] J. Virsik: On the holonomity of higher order connections.Cahiers Topol. Géom. Diff. 12 (1971), 197–212. Zbl 0223.53026, MR 0305294 |
| . |
