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Geometry and topology
On a problem in the bendings theory of negatively curved surfaces
I. Kh. Sabitov Lomonosov Moscow State University,
Leninskie Gory,
119991, Moscow, Russia
Abstract:
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.
Received May 3, 2018, published August 17, 2018
Citation:
I. Kh. Sabitov, “On a problem in the bendings theory of negatively curved surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 890–893
Linking options:
https://www.mathnet.ru/eng/semr963 https://www.mathnet.ru/eng/semr/v15/p890
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