Article

Full entry | PDF   (0.6 MB)
References:
[1] Deprez J., Deszcz R., Verstraelen L.: Examples of pseudosymmetric conformally flat warped products. Chinese J. Math., 17 (1989), 51-65. MR 1007875
[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
[3] Deszcz R.: On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions. Colloquium Math., 62 (1991), 103-120. MR 1114625 | Zbl 0738.53008
[4] Deszcz R.: Curvature properties of a certain compact pseudosymmetric manifold. to appear.
[5] Deszcz R., Grycak W.: On some class of warped product manifolds. Bull. Inst. Math. Acad. Sinica, 15 (1987), 311-322. MR 0942791 | Zbl 0633.53031
[6] Deszcz R., Grycak W.: On certain curvature conditions on Riemannian manifolds. Colloquium Math., 58 (1990), 259-268. MR 1060177 | Zbl 0707.53019
[7] Deszcz R., Verstraelen L.: Hypersurfaces of semi-Riemannian conformally flat manifolds. in: Geometry and Topology of Submanifolds, III, Leeds, May 1991, 131-147. MR 1344463 | Zbl 0731.53021
[8] Deszcz R., Verstraelen L., Vrancken L.: On the symmetry of warped product spacetimes. Gen. Rel. Grav., 23 (1991), 671-681. MR 1105456
[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
[10] Hotlos M.: Curvature properties of some Riemannian manifolds. to appear. MR 1175431 | Zbl 0854.53042
[11] Hotlos M.: On conformal changes of some Riemannian metrics. to appeaг.
[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. MR 1065113 | Zbl 0703.53069
[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. MR 0683165 | Zbl 0508.53025
[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

Partner of