| Title:
|
How many are affine connections with torsion (English) |
| Author:
|
Dušek, Zdeněk |
| Author:
|
Kowalski, Oldřich |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2014 |
| Pages:
|
257-264 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The question how many real analytic affine connections exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of $n$ variables. (English) |
| Keyword:
|
affine connection |
| Keyword:
|
Ricci tensor |
| Keyword:
|
Cauchy-Kowalevski Theorem |
| MSC:
|
35A10 |
| MSC:
|
35F35 |
| MSC:
|
35G50 |
| MSC:
|
35Q99 |
| idZBL:
|
Zbl 06487010 |
| idMR:
|
MR3303775 |
| DOI:
|
10.5817/AM2014-5-257 |
| . |
| Date available:
|
2015-01-07T14:50:34Z |
| Last updated:
|
2016-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144068 |
| . |
| Reference:
|
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| Reference:
|
[2] Dušek, Z., Kowalski, O.: How many are torsion-less affine connections in general dimension.to appear in Adv. Geom. |
| 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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| . |
