Geodesic
On a problem in the bendings theory of negatively curved surfaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 890-893

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We show that for negatively curved surfaces one can have the following phenomenon: there exist two non-congruent isometric surfaces with a common open set.
Keywords: isometry, surfaces with negative curvature, common open domains. 
@article{SEMR_2018_15_a50,
     author = {I. Kh. Sabitov},
     title = {On a problem in the bendings theory of negatively curved surfaces},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {890--893},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a50/}
}
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I. Kh. Sabitov. On a problem in the bendings theory of negatively curved surfaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 890-893. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a50/