| Title:
|
Natural liftings of vector fields to tangent bundles of bundles of $1$-forms (English) |
| Author:
|
Kobak, Piotr |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
319-326 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Natural liftings $D:I\rightarrow ITT^*$ are classified for $n\geq 2$. It is proved that they form a 5-parameter family of operators. (English) |
| Keyword:
|
natural operators |
| Keyword:
|
vector fields |
| Keyword:
|
prolongation of the flow |
| Keyword:
|
natural liftings |
| Keyword:
|
equivariant maps |
| Keyword:
|
natural bundles |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0743.53008 |
| idMR:
|
MR1126453 |
| DOI:
|
10.21136/MB.1991.126171 |
| . |
| Date available:
|
2009-09-24T20:46:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126171 |
| . |
| Reference:
|
[1] D. J. Eck: Product-preserving functors on smooth manifolds.J. Pure Appl. Algebra 42 (1986), 133-140. Zbl 0615.57019, MR 0857563, 10.1016/0022-4049(86)90076-9 |
| Reference:
|
[2] G. Kainz P. Michor: Natural transformations in differential geometry.Czechoslovak Math. J. 37 (112) (1987), 584-607. MR 0913992 |
| Reference:
|
[З] I. Kolář: On the natural operators on vector fields.Ann. Glob. Anal. Geom. 6 (1) (1988), 109-117. MR 0982760, 10.1007/BF00133034 |
| Reference:
|
[4] I. Kolář P. W. Michor J. Slovák: Natural operations in differential geometry.to appeaг. |
| Reference:
|
[5] I. Kolář Z. Radziszewski: Natural transformations of second tangent and cotangent functors.Czechoslovak Math. J. 38 (113) (1988), 274-279. MR 0946296 |
| . |
