| Title:
|
Smooth bundles of generalized half-densities (English) |
| Author:
|
Canarutto, Daniel |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
111-124 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Smooth bundles, whose fibres are distribution spaces, are introduced according to the notion of smoothness due to Frölicher. Some fundamental notions of differential geometry, such as tangent and jet spaces, Frölicher-Nijenhuis bracket, connections and curvature, are suitably generalized. It is also shown that a classical connection on a finite-dimensional bundle naturally determines a connection on an associated distributional bundle. (English) |
| Keyword:
|
generalized sections |
| Keyword:
|
Frölicher smoothness |
| Keyword:
|
connections |
| MSC:
|
46F99 |
| MSC:
|
46T30 |
| MSC:
|
53C05 |
| MSC:
|
58B10 |
| MSC:
|
58C99 |
| idZBL:
|
Zbl 1050.46515 |
| idMR:
|
MR1761616 |
| . |
| Date available:
|
2008-06-06T22:25:29Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107724 |
| . |
| Reference:
|
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| Reference:
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