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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 109–117
DOI: https://doi.org/10.33048/smzh.2019.60.109 (Mi smj3062) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Unique determination of locally convex surfaces with boundary and positive curvature of genus $p\geqslant 0$

S. B. Klimentovab

a Southern Federal University, Rostov-on-Don, Russia
b Southern Mathematical Institute, Vladikavkaz, Russia
Full-text PDF (561 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.109
Abstract: We prove the next result. If two isometric regular surfaces with regular boundaries, of an arbitrary finite genus, and positive Gaussian curvature in the three-dimensional Euclidean space, consist of two congruent arcs corresponding under the isometry (lying on the boundaries of these surfaces or inside these surfaces) then these surfaces are congruent.
Keywords: bending of a surface, unique determination.
Received: 19.04.2018
Revised: 08.10.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 82–88
DOI: https://doi.org/10.1134/S0037446619010099
Bibliographic databases:
Document Type: Article
UDC: 514.752.435
MSC: 35R30
Language: Russian
Citation: S. B. Klimentov, “Unique determination of locally convex surfaces with boundary and positive curvature of genus $p\geqslant 0$”, Sibirsk. Mat. Zh., 60:1 (2019), 109–117; Siberian Math. J., 60:1 (2019), 82–88
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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