On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor

Filip Defever; Ryszard Deszcz

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1993)

  • Volume: 32, Issue: 1, page 27-34
  • ISSN: 0231-9721

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Defever, Filip, and Deszcz, Ryszard. "On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 32.1 (1993): 27-34. <http://eudml.org/doc/23574>.

@article{Defever1993,
author = {Defever, Filip, Deszcz, Ryszard},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {semisymmetric manifold; Einstein manifold; warped products},
language = {eng},
number = {1},
pages = {27-34},
publisher = {Palacký University Olomouc},
title = {On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor},
url = {http://eudml.org/doc/23574},
volume = {32},
year = {1993},
}

TY - JOUR
AU - Defever, Filip
AU - Deszcz, Ryszard
TI - On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1993
PB - Palacký University Olomouc
VL - 32
IS - 1
SP - 27
EP - 34
LA - eng
KW - semisymmetric manifold; Einstein manifold; warped products
UR - http://eudml.org/doc/23574
ER -

References

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  1. Deprez J., Deszcz R., Verstraelen L., Examples of pseudosymmetric conformally flat warped products, Chinese J. Math., 17 (1989), 51-65. (1989) MR1007875
  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. (1988) MR1068739
  3. Deszcz R., On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions, Colloquium Math., 62 (1991), 103-120. (1991) Zbl0738.53008MR1114625
  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. (1987) Zbl0633.53031MR0942791
  6. Deszcz R., Grycak W., On certain curvature conditions on Riemannian manifolds, Colloquium Math., 58 (1990), 259-268. (1990) Zbl0707.53019MR1060177
  7. Deszcz R., Verstraelen L., Hypersurfaces of semi-Riemannian conformally flat manifolds, in: Geometry and Topology of Submanifolds, III, Leeds, May 1991, 131-147. (1991) Zbl0731.53021MR1344463
  8. Deszcz R., Verstraelen L., Vrancken L., On the symmetry of warped product spacetimes, Gen. Rel. Grav., 23 (1991), 671-681. (1991) MR1105456
  9. Dodziuk J., Randal B., Lower bounds for λ 1 on a finite-volume hyperbolic manifold, J. Diff. Geom., 24 (1986), 133-139. (1986) MR0857379
  10. Hotlos M., Curvature properties of some Riemannian manifolds, to appear. Zbl0854.53042MR1175431
  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. (1989) Zbl0703.53069MR1065113
  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. (1982) Zbl0508.53025MR0683165
  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. (1985) MR0787296

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