Geodesic
Infinitely small transformations preserving the curvature of a Riemannian space
Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 371-380 
S. I. Fedishchenko. Infinitely small transformations preserving the curvature of a Riemannian space. Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 371-380. http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a1/
@article{MZM_1969_6_4_a1,
     author = {S. I. Fedishchenko},
     title = {Infinitely small transformations preserving the curvature of {a~Riemannian} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {371--380},
     year = {1969},
     volume = {6},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The necessary and sufficient conditions for tensor character are obtained, for which an infinitely small transformation of the space $V_n4 preserves its Riemannian curvature for any two-dimensional area. It is proved that for $n>3$ the subprojective spaces of the exceptional case, satisfying a certain condition, and only they, permit nontrivial, infinitely small conformal transformations preserving the Riemannian curvature of each two-dimensional area.