| Title:
|
On tensor fields semiconjugated with torse-forming vector fields (English) |
| Author:
|
Rachůnek, Lukáš |
| Author:
|
Mikeš, Josef |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
151-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved. (English) |
| Keyword:
|
torse-forming vector fields |
| Keyword:
|
Riemannian space |
| Keyword:
|
semisymmetric space |
| Keyword:
|
$T$-semisymmetric space |
| MSC:
|
53B20 |
| MSC:
|
53B30 |
| idZBL:
|
Zbl 1092.53016 |
| idMR:
|
MR2218574 |
| . |
| Date available:
|
2009-08-21T06:48:23Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133376 |
| . |
| Reference:
|
[1] Kowolik J.: On some Riemannian manifolds admitting torse-forming vector fields.Dem. Math. 18, 3 (1985), 885–891. MR 0836831 |
| Reference:
|
[2] Mikeš J.: Geodesic mappings of affine-connected and Riemannian spaces.J. Math. Sci. New York 78, 3 (1996), 311–333. Zbl 0866.53028, MR 1384327 |
| Reference:
|
[3] Mikeš J.: Geodesic Ricci mappings of two-symmetric Riemann spaces.Math. Notes 28 (1981), 622–624. Zbl 0454.53013 |
| Reference:
|
[4] Mikeš J., Rachůnek L.: $T$-semisymmetric spaces and concircular vector fields.Supplemento ai Rendiconti del Circolo Matematico di Palermo, II. Ser. 69 (2002), 187–193. MR 1972434 |
| Reference:
|
[5] Rachůnek L., Mikeš J.: Torse-forming vector fields in $T$-semisymmetric Riemannian spaces.Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Univ. Debrecen, Institute of Mathematics and Informatics, 2001, 219–229. Zbl 0994.53009, MR 1859300 |
| Reference:
|
[6] Rachůnek L., Mikeš J.: On semitorse-forming vector fields.3rd International Conference APLIMAT 2004, Bratislava, 835–840. |
| Reference:
|
[7] Roter W.: On a class of conformally recurrent manifolds.Tensor N. S. 39 (1982), 207–217. Zbl 0518.53018, MR 0836937 |
| Reference:
|
[8] Yano K.: On torse-forming directions in Riemannian spaces.Proc. Imp. Acad. Tokyo 20 (1944), 701–705. MR 0014778 |
| . |
