Geodesic
A property of conformal infinitesimal deformations of multidimensional surfaces in Riemannian space
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 284-290 
V. T. Fomenko. A property of conformal infinitesimal deformations of multidimensional surfaces in Riemannian space. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 284-290. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a13/
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     title = {A~property of conformal infinitesimal deformations of multidimensional surfaces in {Riemannian} space},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that conformal infinitesimal deformations of a surface $F^k$ in Riemannian space, and they only, are areally recurrent infinitesimal deformations. All areally recurrent deformations of the hypersphere $S^{n-1}$ in $E^n$ are described.

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