Doubly warped products with harmonic Weyl conformal curvature tensor

Andrzej Gębarowski

Colloquium Mathematicae (1994)

  • Volume: 67, Issue: 1, page 73-89
  • ISSN: 0010-1354

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Gębarowski, Andrzej. "Doubly warped products with harmonic Weyl conformal curvature tensor." Colloquium Mathematicae 67.1 (1994): 73-89. <http://eudml.org/doc/210265>.

@article{Gębarowski1994,
author = {Gębarowski, Andrzej},
journal = {Colloquium Mathematicae},
keywords = {doubly warped product; harmonic Weyl conformal curvature tensor},
language = {eng},
number = {1},
pages = {73-89},
title = {Doubly warped products with harmonic Weyl conformal curvature tensor},
url = {http://eudml.org/doc/210265},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Gębarowski, Andrzej
TI - Doubly warped products with harmonic Weyl conformal curvature tensor
JO - Colloquium Mathematicae
PY - 1994
VL - 67
IS - 1
SP - 73
EP - 89
LA - eng
KW - doubly warped product; harmonic Weyl conformal curvature tensor
UR - http://eudml.org/doc/210265
ER -

References

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  1. [1] J. K. Beem and T. G. Powell, Geodesic completeness and maximality in Lorentzian warped products, Tensor (N.S.) 39 (1982), 31-36. Zbl0515.53046
  2. [2] A. L. Besse, Einstein Manifolds, Springer, 1987. 
  3. [3] R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1-49. Zbl0191.52002
  4. [4] M. C. Chaki and B. Gupta, On conformally symmetric spaces, Indian J. Math. 5 (1963), 113-122. Zbl0122.39902
  5. [5] R. Deszcz, L. Verstraelen and L. Vrancken, On the symmetry of warped product space-times, Gen. Relativity Gravitation 23 (1991), 671-681. Zbl0723.53009
  6. [6] P. E. Ehrlich, Metric deformations of Ricci and sectional curvature on compact Riemannian manifolds, Ph.D. dissertation, SUNY, Stony Brook, N.Y., 1974. 
  7. [7] A. Gębarowski, Nearly conformally symmetric warped product manifolds, Bull. Inst. Math. Acad. Sinica 20 (1992), 359-377. Zbl0774.53013
  8. [8] M. Hotloś, Some theorems on doubly warped products, Demonstratio Math. 23 (1990), 39-58. Zbl0718.53029
  9. [9] M. Hotloś, Some theorems on Ricci-pseudosymmetric doubly warped products, to appear. Zbl0861.53048
  10. [10] G. I. Kruchkovich, On semi-reducible Riemannian spaces, Dokl. Akad. Nauk SSSR 115 (1957), 862-865 (in Russian). Zbl0080.37301
  11. [11] G. I. Kruchkovich, On some class of Riemannian spaces, Trudy Sem. Vektor. Tenzor. Anal. 11 (1961), 103-128 (in Russian). 
  12. [12] W. Roter, On a generalization of conformally symmetric metrics, Tensor (N.S.) 46 (1987), 278-286. Zbl0694.53018
  13. [13] Y. C. Wong, Some Einstein spaces with conformally separable fundamental tensors, Trans. Amer. Math. Soc. 53 (1943), 157-194. Zbl0060.38606
  14. [14] K. Yano, Conformally separable quadratic differential forms, Proc. Imper. Acad. Tokyo 16 (1940), 83-86. Zbl0023.16802

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