| Title:
|
On the connections naturally induced on the second order frame bundle (English) |
| Author:
|
Janyška, Josef |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
21-28 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B15 |
| MSC:
|
53C05 |
| idZBL:
|
Zbl 0628.53034 |
| idMR:
|
MR868117 |
| . |
| Date available:
|
2008-06-06T06:15:38Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107243 |
| . |
| Reference:
|
[1] J. Janyška: On natural operations with linear connections.Cz. Math. Journal, 35 (110) 1985, 106-115. MR 0779339 |
| Reference:
|
[2] I. Kolář: On some operations with connections.Math. Nachr., 69 (1975), 297-306. MR 0391157 |
| Reference:
|
[3] I. Kolář: Connections in 2-fibered manifolds.Arch. Math. (Brno), XVII (1981), 23-30. MR 0672485 |
| Reference:
|
[4] S. Kobayashi K. Nomizu: Foundations of Differential Geometry, I..New York-London-Sydney 1963. |
| Reference:
|
[5] P. Libermann: Connexions d'ordre superieur et tenseur de structure.Atti del Convegno Int. di Geom. Diff., Bologna 1967, 1-18. |
| Reference:
|
[6] L. Mangiarotti M. Modugno: New operators on jet spaces.Annales Fac. des Sciences Toulouse, 5 (1983), 171 -198. MR 0735661 |
| Reference:
|
[7] V. Oproiu: Connections on the semiholonomic frame bundle of the second order.Revue Roumaine Mat. Pures et Appliq., XIV (1969), 661-672. MR 0248671 |
| Reference:
|
[8] J. Pradines: Fibrés vectoriels double symétriques et jets holonomes d'ordre 2.C. R. Acad. Sci. Paris Sér. A, 278 (1974), 1557-1560. MR 0388433 |
| Reference:
|
[9] A. K. Rybnikov: On the second order affine connections.(Russian), Mat. Zametki 29 (1981), 279-290. MR 0610586 |
| Reference:
|
[10] I. Vadovičová: Non-holonomic jets of the second order and their applications.(Slovak), PhD-thesis, Žilina 1983. |
| Reference:
|
[11] P. C. Yuen: Higher order frames and linear connections.Cahiers Topol. Geom. Diff., 12 (1971), 337-371. Zbl 0222.53033, MR 0307102 |
| . |
