| Title:
|
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor (English) |
| Author:
|
Defever, Filip |
| Author:
|
Deszcz, Ryszard |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
27-34 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B20 |
| MSC:
|
53C25 |
| MSC:
|
53C80 |
| idZBL:
|
Zbl 0796.53016 |
| idMR:
|
MR1273166 |
| . |
| Date available:
|
2009-01-29T15:39:26Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120295 |
| . |
| Reference:
|
[1] Deprez J., Deszcz R., Verstraelen L.: Examples of pseudosymmetric conformally flat warped products.Chinese J. Math., 17 (1989), 51-65. MR 1007875 |
| Reference:
|
[2] Deszcz R.: Examples of four-dimensional Riemannian manifolds satisfying some pseudosymmetry curvature conditions.in : Geometry and Topology of Submanifolds, II, Avignon, May 1988, World Sci. Publ., Singapore 1990, 134-143. MR 1068739 |
| Reference:
|
[3] Deszcz R.: On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions.Colloquium Math., 62 (1991), 103-120. Zbl 0738.53008, MR 1114625 |
| Reference:
|
[4] Deszcz R.: Curvature properties of a certain compact pseudosymmetric manifold.to appear. |
| Reference:
|
[5] Deszcz R., Grycak W.: On some class of warped product manifolds.Bull. Inst. Math. Acad. Sinica, 15 (1987), 311-322. Zbl 0633.53031, MR 0942791 |
| Reference:
|
[6] Deszcz R., Grycak W.: On certain curvature conditions on Riemannian manifolds.Colloquium Math., 58 (1990), 259-268. Zbl 0707.53019, MR 1060177 |
| Reference:
|
[7] Deszcz R., Verstraelen L.: Hypersurfaces of semi-Riemannian conformally flat manifolds.in: Geometry and Topology of Submanifolds, III, Leeds, May 1991, 131-147. Zbl 0731.53021, MR 1344463 |
| Reference:
|
[8] Deszcz R., Verstraelen L., Vrancken L.: On the symmetry of warped product spacetimes.Gen. Rel. Grav., 23 (1991), 671-681. MR 1105456 |
| Reference:
|
[9] Dodziuk J., Randal B.: Lower bounds for $\lambda_1$ on a finite-volume hyperbolic manifold.J. Diff. Geom., 24 (1986), 133-139. MR 0857379 |
| Reference:
|
[10] Hotlos M.: Curvature properties of some Riemannian manifolds.to appear. Zbl 0854.53042, MR 1175431 |
| Reference:
|
[11] Hotlos M.: On conformal changes of some Riemannian metrics.to appeaг. |
| Reference:
|
[12] Kitamura S.: On spherically symmetric and plane symmetric perfect fluid solutions and their imbedding of class one.Tensor, N.S., 48 (1989), 167-180. Zbl 0703.53069, MR 1065113 |
| Reference:
|
[13] Szabo Z.I.: Structure theorems on Riemannian spaces satisfying R(X,Y) R= 0. I. The local version.J. Diff. Geom., 17 (1982), 531-582. Zbl 0508.53025, MR 0683165 |
| Reference:
|
[14] Van den Bergh N., Wils P.: Exact solutions for nonstatic perfect fluid spheres with shear and an equation of state.Gen. Rel. Grav. 17 (1985), 223-243. MR 0787296 |
| . |
