| Title:
|
On weakly and pseudo concircular symmetric structures on a Riemannian manifold (English) |
| Author:
|
Özen Zengin, Füsun |
| Author:
|
Altay Demirbağ, Sezgin |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
129-138 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we examine the properties of hypersurfaces of weakly and pseudo concircular symmetric manifolds and we give an example for these manifolds. (English) |
| Keyword:
|
weakly symmetric manifold |
| Keyword:
|
pseudo symmetric manifold |
| Keyword:
|
weakly and pseudo symmetric concircular manifold |
| Keyword:
|
totally umbilical |
| Keyword:
|
totally geodesic |
| Keyword:
|
mean curvature |
| Keyword:
|
scalar curvature |
| MSC:
|
53B15 |
| MSC:
|
53B20 |
| MSC:
|
53Cxx |
| idZBL:
|
Zbl 1184.53022 |
| idMR:
|
MR2482723 |
| . |
| Date available:
|
2009-08-27T11:27:14Z |
| Last updated:
|
2025-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133399 |
| . |
| Reference:
|
[1] Tamassy L., Binh T. Q.: On weakly symmetric and weakly pseudo projective symmetric Riemannian manifolds.Coll. Math. Soc. J. Bolyai 50 (1989), 663–670. MR 1211691 |
| Reference:
|
[2] Chaki M. C., Mondal S. P.: On generalised pseudo symmetric manifolds.Publ. Math. Debrecen 51, 1-2 (1997), 35–42. 10.5486/PMD.1997.1760 |
| Reference:
|
[3] De U. C., Bandyopadhyay: On weakly symmetric Riemannian spaces.Publ. Math. Debrecen 54 (1999), 377–381. Zbl 0922.53018, MR 1694492, 10.5486/PMD.1999.1999 |
| Reference:
|
[4] Ozen F., Altay S.: On weakly concircular symmetric spaces.Math. Pannonica 16, 1 (2005), 29–38. MR 2134236 |
| Reference:
|
[6] Desa P., Amur K.: On w-recurrent spaces.Tensor 29 (1975), 98–102. MR 0375119 |
| Reference:
|
[7] Chen B. Y.: Geometry of Submanifolds. : Marcel-Deker, New York., 1973. MR 0353212 |
| Reference:
|
[8] Eisenhart L. P.: Riemannian Geometry. : Princeton University Press., 1949. MR 0035081 |
| Reference:
|
[9] Roter W.: On conformally symmetric Ricci-recurrent space.Coll. Math. 31 (1974), 87–96. MR 0372768, 10.4064/cm-31-1-87-96 |
| . |
