| Title:
|
On natural operations with linear connections (English) |
| Author:
|
Janyška, Josef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
106-115 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0594.53029 |
| idMR:
|
MR779339 |
| DOI:
|
10.21136/CMJ.1985.102000 |
| . |
| Date available:
|
2008-06-09T15:03:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102000 |
| . |
| Reference:
|
[1] C. Ehresmann: Sur les connexions d'ordre supérieur.Atti del V° Congresso dell'Unione Matematica Italiana, 1955, Roma Cremonese, 344-346. |
| Reference:
|
[2] С. T. J. Dodson M. S. Radivoiovici: Tangent and frame bundles of order two.Analele stiintifice ale Universitatii "Al. I. Cuza" din Iasi, Tomul XXVIII, s. I a, 1982, f. 1, 63 - 71. MR 0667721 |
| Reference:
|
[3] H. Gollek: Anwendungen der Jet-Theorie auf Faserbündel und Liesche Transformationsgruppen.Math. Nachr. 53, 1972, 161-180. Zbl 0245.58002, MR 0319082, 10.1002/mana.19720530115 |
| Reference:
|
[4] J. Janyška I. Kolář: Globally defined smooth homogeneous functions.(in Czech), lecture notes, Brno 1983. |
| Reference:
|
[5] J. Janyška: Geometrical properties of prolongation functors.to appear. MR 0791280 |
| Reference:
|
[6] S. Kobayashi K. Nomizu: Foundations of Differential Geometry I.New York-London 1963. |
| Reference:
|
[7] I. Коlář: On some operations with connections.Math. Nachr. 69, 1975, 297-306. MR 0391157, 10.1002/mana.19750690127 |
| Reference:
|
[8] I. Kolář: Canonical forms on the prolongations of principal fibre bundles.Rev. Roumaine Mat. Pures et Appliq., T XVI, N. 7, 1971, 1091-1106. MR 0301668 |
| Reference:
|
[9] I. Kolář: Prolongations of generalized connections.Colloquia Math. Soc. János Bolyai, 31. diff. geom., Budapest, 1979, 317-325. MR 0706928 |
| Reference:
|
[10] D. Krupka: Differential invariants.lecture notes, Brno 1979. |
| Reference:
|
[11] D. Krupka: Local invariants of a linear connection.Colloquia Math. Soc. János Bolyai, 31. diff. geom., Budapest, 1979, 349-369. MR 0706930 |
| Reference:
|
[12] D. Krupka: Elementary theory of differential invariants.Arch. Math. 4, Scripta fac. sci. nat. UJEP Brunensis, 1978, XIV: 207-214. Zbl 0428.58002, MR 0512763 |
| Reference:
|
[13] D. Krupka: A setting for generally invariant Lagrangian structures in tensor bundles.Bulletin de l'Académie Polonaise des Sciences, Serie des sciences math., astr. et phys., Vol. XXII, N. 9, 1974,967-972. Zbl 0305.58002, MR 0410793 |
| Reference:
|
[14] P. Libermann: Parallélismes.J. Diff. Geom., 8 (1973), 511 - 539. Zbl 0284.53023, MR 0353189 |
| Reference:
|
[15] A. Nijenhuis: Natural bundles and their general properties.Diff. Geom., Kinokuniya, Tokyo 1972, 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[16] V. Oproiu: Connections in the semiholonomic frame bundle of second order.Rev. Roumaine Mat. Pures et Appliq., T XIV, N. 5, 1969, 661-672. Zbl 0182.24104, MR 0248671 |
| Reference:
|
[17] E. N. Puşcaş: On the connection objects of second order.Analele stiintifice ale Universitatii ,,Al. I. Cuza" din Iasi, Tomul XXV, s. I a, 1979, 1-6. MR 0592826 |
| Reference:
|
[18] Chuu-Lian Terng: Natural vector bundles and natural differential operators.Am. J. Math., Vol. 100 (1978) N. 4, 775-826. MR 0509074, 10.2307/2373910 |
| Reference:
|
[19] J. Virsík: A general point of view to higher order connections on fibre bundles.Cz. Math. J., 19(94), 1969, 110-142. MR 0242187 |
| Reference:
|
[20] A. K. Рыбников: Об аффинных связностях второго порядка.Мат. заметки, т. 29, и. 2 (1981), 279-290. Zbl 1170.01413, MR 0610586 |
| . |
