Geodesic
On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1023-1026 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a description of metrics of revolution immersible in $\mathbb R^3$ by a discontinuum set of non-congruent isometric surfaces.
Keywords: metric, isometric immersion, surface of revolution, set of solutions.
Mots-clés : equation 
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     title = {On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$},
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I. Kh. Sabitov. On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1023-1026. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a30/

[1] I. Kh. Sabitov, “Local theory of the bendings of surfaces”, Geometry III. Theory of surfaces, eds. Burago Yu.D., Zalgaller V. A., Gamkrelidze R. V., Springer, Berlin, 1992, 179–250 | DOI | MR

[2] R. Sa Erp, É. Tubian, “Discrete and nondiscrete isometric deformations of surfaces in $\mathbb R^3$”, Sib. Math. J., 43:4 (2002), 714–718 | DOI | MR

[3] I. Kh. Sabitov, “Infinitesimal bendings of trough of revolution”, Math. USSR, Sb., 27:1 (1075), 103–117 | DOI | MR