| Title:
|
On projectable objects on fibred manifolds (English) |
| Author:
|
Cruceanu, Vasile |
| Author:
|
Popescu, Marcela |
| Author:
|
Popescu, Paul |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
185-206 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to study the projectable and $N$-projectable objects (tensors, derivations and linear connections) on the total space $E$ of a fibred manifold $\xi $, where $N$ is a normalization of $\xi $. (English) |
| Keyword:
|
fibred manifold |
| Keyword:
|
projectable objects |
| Keyword:
|
$d$-tensor fields |
| MSC:
|
53B40 |
| MSC:
|
53C07 |
| MSC:
|
53C60 |
| idZBL:
|
Zbl 1090.53503 |
| idMR:
|
MR1860183 |
| . |
| Date available:
|
2008-06-06T22:28:51Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107798 |
| . |
| Reference:
|
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| Reference:
|
[2] Bejancu A.: Finsler Geometry and Applications.Math. and its appl., Chichester, 1988. |
| Reference:
|
[3] Cruceanu V.: Sur la structure presque produit assiciée à une connection sur un espace fibré.An. St. Univ. “Al.I.Cuza" Iassy, XV (1969), 159–167. MR 0256294 |
| Reference:
|
[4] Cruceanu V.,: Connections compatibles avec certaines structures sur un fibré vectoriel banachique.Czechoslovak Math. J., 24 (1974), 126–142. MR 0353356 |
| Reference:
|
[5] Cruceanu V.: A New definition for certaines lifts on a Vector Bundle.An. St. Univ. ”Al.I.Cuza” Iassy, 42 (1996), 59–72. MR 1458921 |
| Reference:
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[6] Gray A.: Pseudo-Riemannian almost products manifolds and submersions.J.Math.and Mech. 16 (1967), 715–738. MR 0205184 |
| Reference:
|
[7] Grifone J.: Structures presque-tangente et connexions.I, II, Ann. Inst. Fourier, 22 (1972), 287–334, 291–338. MR 0336636 |
| Reference:
|
[8] Ishihara S., Konishi M.: Differential Geometry of Fibred Spaces.Publ. Study Group of Geometry, 8 (1973), 1–200. Zbl 0337.53001, MR 0405275 |
| Reference:
|
[9] Mangiarotti L., Modugno M.: Connections and Differential Calculus on Fibred Manifolds.Istituto de Mat. Appl. “G. Sansone", Italy, 1989, 147 pp. Zbl 0841.53023 |
| Reference:
|
[10] Miron R. : The geometry of Higher-Order Lagrange Spaces.Aplications to Mechanics and Physics. Kluwer Acad. Publ. FTPH (1996). MR 1437362 |
| Reference:
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[11] Miron R., Anastasiei M.: The Geometry of Lagrange Spaces. Theory and Applications.Kluwer Acad. Publ. 59 (1994). Zbl 0831.53001, MR 1281613 |
| Reference:
|
[12] Popescu M., Popescu P.: d-Linear Connections on Fibred Manifolds.An. Univ. Craiova, Ser. mat., XXIII (1996), 52–59. Zbl 1053.53513, MR 1654908 |
| Reference:
|
[13] Popescu P.: On the geometry of R-tangent spaces.Rev. Roum. Math. Pures Appl., 37(1992), 8, 727–733. MR 1188626 |
| Reference:
|
[14] Yano K., Ishihara S.: Differential Geometry of Fibred Spaces.Kodai Math. Sem. Rep., 19 (1967), 257–288. Zbl 0153.51204, MR 0224027 |
| . |
