| Title:
|
Conformal vector fields on Finsler manifolds (English) |
| Author:
|
Szilasi, József |
| Author:
|
Tóth, Anna |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
19 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
149-168 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Applying concepts and tools from classical tangent bundle geometry and using the apparatus of the calculus along the tangent bundle projection (‘pull-back formalism’), first we enrich the known lists of the characterizations of affine vector fields on a spray manifold and conformal vector fields on a Finsler manifold. Second, we deduce consequences on vector fields on the underlying manifold of a Finsler structure having one or two of the mentioned geometric properties. (English) |
| Keyword:
|
spray manifold |
| Keyword:
|
Finsler manifold |
| Keyword:
|
projective vector field |
| Keyword:
|
affine vector field |
| Keyword:
|
conformal vector field |
| MSC:
|
53A30 |
| MSC:
|
53C60 |
| idZBL:
|
Zbl 1247.53089 |
| idMR:
|
MR2897267 |
| . |
| Date available:
|
2012-04-06T06:20:06Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142098 |
| . |
| Reference:
|
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