| Title:
|
Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case (English) |
| Author:
|
Janyška, Josef |
| Author:
|
Markl, Martin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
61-80 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections. (English) |
| Keyword:
|
natural operator |
| Keyword:
|
linear connection |
| Keyword:
|
torsion |
| Keyword:
|
reduction theorem |
| Keyword:
|
graph |
| MSC:
|
20G05 |
| MSC:
|
53C05 |
| MSC:
|
58A32 |
| idMR:
|
MR2915850 |
| DOI:
|
10.5817/AM2012-1-61 |
| . |
| Date available:
|
2012-03-15T18:12:24Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142092 |
| . |
| 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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| 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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| . |
