Geodesic
On Hypercylinders in Conformally Symmetric Manifolds
Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 101
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Hypercylinders in conformally symmetric manifolds are considered. The main result is the following theorem: Let $(M,g)$ be a hypercylinder in a parabolic essentially conformally symmetric manifold $(N,\widetilde g)$, $\dim N\ge 5$ and let $\widetolde U$ be the subset od $N$ consisting of all points of $N$ at which the Ricci tensor $\widetilde S$ of $(N,\widetilde g)$ is not recurrent. If $\widetilde U\cap M$ is a dense subset of $M$, then $(M,g)$ is a conformally recurrent manifold.
Classification : 53B25 53B20 
@article{PIM_1992_N_S_51_65_a12,
     author = {Ryszard Deszcz},
     title = {On {Hypercylinders} in {Conformally} {Symmetric} {Manifolds}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {101 },
     year = {1992},
     volume = {_N_S_51},
     number = {65},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a12/}
}
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Ryszard Deszcz. On Hypercylinders in Conformally Symmetric Manifolds. Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 101 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a12/