| Title:
|
Reducibility theorems for differentiable liftings in fiber bundles (English) |
| Author:
|
Krupka, Demeter |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1979 |
| Pages:
|
93-106 |
| . |
| Category:
|
math |
| . |
| MSC:
|
55R10 |
| MSC:
|
58A20 |
| MSC:
|
58C25 |
| MSC:
|
58K99 |
| idZBL:
|
Zbl 0439.55009 |
| idMR:
|
MR563142 |
| . |
| Date available:
|
2008-06-06T06:06:13Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107028 |
| . |
| Reference:
|
[1] G. W. Horndeski D. Lovelock: Scalar-tensor field theories.Tensor, 24 (1972), 79-92. MR 0327251 |
| Reference:
|
[2] D. Husemoller: Fibre Bundles.McGraw-Hill, New York, 1966. Zbl 0144.44804, MR 0229247 |
| Reference:
|
[3] Chuu-Lian Terng: Natural vector bundles and natural differential operators.A dissertation, Brandeis University, Massachusetts, 1976. |
| Reference:
|
[4] S. Kobayashi K. Nomizu: Foundations of Differential Geometry.Vol. 1, Interscience, New York, 1963. MR 0152974 |
| Reference:
|
[5] D. Krupka: A setting for generally invariant Lagrangian structures in tensor bundles.Bull. Acad. Polon. Sci, Sér. Math. Astronom. Phys., 22 (1974), 967-972. Zbl 0305.58002, MR 0410793 |
| Reference:
|
[6] D. Krupka: A theory of generally invariant Lagrangians for the metric fields. II..Intern. J. Theor. Phys. 15 (1976), 949-959; I., Intern. J. Theor. Phys. 17 (1978), 359-368 MR 0503475 |
| Reference:
|
[7] D. Krupka: Elementary theory of differential invariants.Arch. Math. (Brno), 14 (1978), 207-214 Zbl 0428.58002, MR 0512763 |
| Reference:
|
[8] D. Krupka: Finite order liftings in principal fibre bundles.Beiträge zur Algebra und Geometrie (Halle), to appear. Zbl 0503.55010, MR 0680453 |
| Reference:
|
[9] D. Krupka: Lagrangians and topology.Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 3- 4 (1975), 265-270. MR 0442929 |
| Reference:
|
[10] D. Krupka A. Trautman: General invariance of Lagrangian structures.Bull. Acad. Polon. Sci, Sér. Math. Astronom. Phys., 22 (1974), 207-211. MR 0345130 |
| Reference:
|
[11] A. Nijenhuis: Natural bundles and their general properties.Differential geometry, in honour of K. Yano, Kinokunyia, Tokyo, 1972, 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[12] H. Rund: Invariant theory of variational problems for geometric objects.Tensor, 18 (1967), 240-257. Zbl 0152.39403, MR 0217668 |
| Reference:
|
[13] S. E. Salvioli: On the theory of geometric objects.J. Diff. Geometry 7 (1972), 257-278. Zbl 0276.53013, MR 0320922 |
| Reference:
|
[14] R. Sulanke P. Wintgen: Differentialgeometrie und Faserbündel.Berlin, 1972. MR 0413153 |
| . |
