| Title:
|
A characterization of harmonic sections and a Liouville theorem (English) |
| Author:
|
Stelmastchuk, Simão |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
149-162 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $P(M,G)$ be a principal fiber bundle and $E(M,N,G,P)$ an associated fiber bundle. Our interest is to study the harmonic sections of the projection $\pi_{E}$ of $E$ into $M$. Our first purpose is give a characterization of harmonic sections of $M$ into $E$ regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of $\pi_{E}$. (English) |
| Keyword:
|
harmonic sections |
| Keyword:
|
Liouville theorem |
| Keyword:
|
stochastic analysis on manifolds |
| MSC:
|
53C43 |
| MSC:
|
55R10 |
| MSC:
|
58E20 |
| MSC:
|
58J65 |
| MSC:
|
60H30 |
| idMR:
|
MR2946214 |
| DOI:
|
10.5817/AM2012-2-149 |
| . |
| Date available:
|
2012-06-08T08:37:23Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142828 |
| . |
| Reference:
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