Geodesic
On Hypercylinders in Conformally Symmetric Manifolds
Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 101

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
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/
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     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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