Doubly warped products with harmonic Weyl conformal curvature tensor
Gębarowski, Andrzej
Colloquium Mathematicae, Tome 67 (1994), p. 73-89 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:210265
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     author = {Andrzej G\k ebarowski},
     title = {Doubly warped products with harmonic Weyl conformal curvature tensor},
     journal = {Colloquium Mathematicae},
     volume = {67},
     year = {1994},
     pages = {73-89},
     zbl = {0814.53021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv67i1p73bwm}
}
Gębarowski, Andrzej. Doubly warped products with harmonic Weyl conformal curvature tensor. Colloquium Mathematicae, Tome 67 (1994) pp. 73-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv67i1p73bwm/

[000] [1] J. K. Beem and T. G. Powell, Geodesic completeness and maximality in Lorentzian warped products, Tensor (N.S.) 39 (1982), 31-36. | Zbl 0515.53046

[001] [2] A. L. Besse, Einstein Manifolds, Springer, 1987.

[002] [3] R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1-49. | Zbl 0191.52002

[003] [4] M. C. Chaki and B. Gupta, On conformally symmetric spaces, Indian J. Math. 5 (1963), 113-122. | Zbl 0122.39902

[004] [5] R. Deszcz, L. Verstraelen and L. Vrancken, On the symmetry of warped product space-times, Gen. Relativity Gravitation 23 (1991), 671-681. | Zbl 0723.53009

[005] [6] P. E. Ehrlich, Metric deformations of Ricci and sectional curvature on compact Riemannian manifolds, Ph.D. dissertation, SUNY, Stony Brook, N.Y., 1974.

[006] [7] A. Gębarowski, Nearly conformally symmetric warped product manifolds, Bull. Inst. Math. Acad. Sinica 20 (1992), 359-377. | Zbl 0774.53013

[007] [8] M. Hotloś, Some theorems on doubly warped products, Demonstratio Math. 23 (1990), 39-58. | Zbl 0718.53029

[008] [9] M. Hotloś, Some theorems on Ricci-pseudosymmetric doubly warped products, to appear. | Zbl 0861.53048

[009] [10] G. I. Kruchkovich, On semi-reducible Riemannian spaces, Dokl. Akad. Nauk SSSR 115 (1957), 862-865 (in Russian). | Zbl 0080.37301

[010] [11] G. I. Kruchkovich, On some class of Riemannian spaces, Trudy Sem. Vektor. Tenzor. Anal. 11 (1961), 103-128 (in Russian).

[011] [12] W. Roter, On a generalization of conformally symmetric metrics, Tensor (N.S.) 46 (1987), 278-286. | Zbl 0694.53018

[012] [13] Y. C. Wong, Some Einstein spaces with conformally separable fundamental tensors, Trans. Amer. Math. Soc. 53 (1943), 157-194. | Zbl 0060.38606

[013] [14] K. Yano, Conformally separable quadratic differential forms, Proc. Imper. Acad. Tokyo 16 (1940), 83-86. | Zbl 0023.16802