Geodesic
Spherically symmetric line element and Killing vectors in five-dimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 345-351 Cet article a éte moissonné depuis la source Math-Net.Ru

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The series of Killing vectors for the line element (2) are described. Their algebras and curvature are presented. Explicit expressions of the metrics for higher symmetries are given. 
@article{TMF_1995_102_3_a2,
     author = {G. L. Rcheulishvili},
     title = {Spherically symmetric line element and {Killing} vectors in five-dimensional space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {345--351},
     year = {1995},
     volume = {102},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a2/}
}
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G. L. Rcheulishvili. Spherically symmetric line element and Killing vectors in five-dimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 345-351. http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a2/