Article
| Title: | Natural lifting of connections to vertical bundles (English) |
| Author: | Kolář, Ivan |
| Author: | Mikulski, Włodzimierz M. |
| Language: | English |
| Journal: | Proceedings of the 19th Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 1999 |
| Year: | |
| Pages: | 97-102 |
| . | |
| Category: | math |
| . | |
| Summary: | One studies the flow prolongation of projectable vector fields with respect to a bundle functor of order $(r,s,q)$ on the category of fibered manifolds. As a result, one constructs an operator transforming connections on a fibered manifold $Y$ into connections on an arbitrary vertical bundle over $Y$. It is deduced that this operator is the only natural one of finite order and one presents a condition on vertical bundles over $Y$ under which every natural operator in question has finite order. (English) |
| MSC: | 53C05 |
| MSC: | 58A20 |
| MSC: | 58A32 |
| idZBL: | Zbl 0978.53056 |
| idMR: | MR1758084 |
| . | |
| Date available: | 2009-07-13T21:43:21Z |
| Last updated: | 2025-06-26 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701652 |
| . |
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| Files | Size | Format | View |
|---|---|---|---|
| WSGP_19-1999-1_13.pdf | 776.9Kb | application/pdf |
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