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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2018 Volume 15, Pages 890–893 (Mi semr963)
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.

UDC: 514.772.35

MSC: 53C

Received May 3, 2018, published August 17, 2018

DOI: 10.17377/semi.2018.15.076



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