| Title:
|
Parallelisability conditions for differentiable three-webs (English) |
| Author:
|
Vanžurová, Alena |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
75-84 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim is to find conditions under which a 3-web on a smooth $2n$-dimensional manifold is locally equivalent with a web formed by three systems of parallel $n$-planes in ${R}^{2n}$. We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web. (English) |
| Keyword:
|
distribution |
| Keyword:
|
projector |
| Keyword:
|
manifold |
| Keyword:
|
three-web |
| Keyword:
|
regular (parallelisable) web |
| MSC:
|
53A60 |
| idZBL:
|
Zbl 0835.53019 |
| idMR:
|
MR1342378 |
| . |
| Date available:
|
2008-06-06T21:28:11Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107527 |
| . |
| 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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| . |
