| Title:
|
Connection induced geometrical concepts (English) |
| Author:
|
Musilová, Pavla |
| Author:
|
Musilová, Jana |
| Language:
|
English |
| Journal:
|
Proceedings of the 25th Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
2005 |
| Year:
|
|
| Pages:
|
[153]-160 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to $f$ and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis of differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed. (English) |
| MSC:
|
53B05 |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1113.58001 |
| idMR:
|
MR2287134 |
| . |
| Date available:
|
2009-07-13T21:55:18Z |
| Last updated:
|
2012-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701774 |
| . |
