| Title:
|
Metrization problem for linear connections and holonomy algebras (English) |
| Author:
|
Vanžurová, Alena |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
511-521 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We contribute to the following: given a manifold endowed with a linear connection, decide whether the connection arises from some metric tensor. Compatibility condition for a metric is given by a system of ordinary differential equations. Our aim is to emphasize the role of holonomy algebra in comparison with certain more classical approaches, and propose a possible application in the Calculus of Variations (for a particular type of second order system of ODE’s, which define geodesics of a linear connection, components of a metric compatible with the connection play the role of variational multipliers). (English) |
| Keyword:
|
manifold |
| Keyword:
|
linear connection |
| Keyword:
|
pseudo-Riemannian metric |
| Keyword:
|
holonomy group |
| Keyword:
|
holonomy algebra |
| MSC:
|
53B05 |
| MSC:
|
53B20 |
| idZBL:
|
Zbl 1212.53021 |
| idMR:
|
MR2501581 |
| . |
| Date available:
|
2009-01-29T09:16:26Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127117 |
| . |
| 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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| . |
