| Title:
|
Contact elements on fibered manifolds (English) |
| Author:
|
Kolář, Ivan |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
1017-1030 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For every product preserving bundle functor $T^\mu $ on fibered manifolds, we describe the underlying functor of any order $(r,s,q), s\ge r\le q$. We define the bundle $K_{k,l}^{r,s,q} Y$ of $(k,l)$-dimensional contact elements of the order $(r,s,q)$ on a fibered manifold $Y$ and we characterize its elements geometrically. Then we study the bundle of general contact elements of type $\mu $. We also determine all natural transformations of $K_{k,l}^{r,s,q} Y$ into itself and of $T(K_{k,l}^{r,s,q} Y)$ into itself and we find all natural operators lifting projectable vector fields and horizontal one-forms from $Y$ to $K_{k,l}^{r,s,q} Y$. (English) |
| Keyword:
|
jet of fibered manifold morphism |
| Keyword:
|
contact element |
| Keyword:
|
Weil bundle |
| Keyword:
|
natural operator |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 1080.58002 |
| idMR:
|
MR2018847 |
| . |
| Date available:
|
2009-09-24T11:08:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127857 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| . |
