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Matematicheskie Zametki, 1973, Volume 14, Issue 2, Pages 233–242 (Mi mzm7253)  
This article is cited in 2 scientific papers (total in 2 papers)

On some second-order rigidity conditions for analytic surfaces

N. G. Perlova

Rostov State University
Full-text PDF (562 kB) Citations (2)
Abstract: It is proved that an analytic surface does not admit a nontrivial analytic infinitesimal deformation of the second order satisfying one of the following conditions:
a) preservation of the normal curvature of a planar closed convex curve belonging to the surface;
b) each point of a closed curve belonging to the surface slides in a rectifiable curve.
Received: 06.06.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 2, Pages 692–697
DOI: https://doi.org/10.1007/BF01147116
Bibliographic databases:
UDC: 513
Language: Russian
Citation: N. G. Perlova, “On some second-order rigidity conditions for analytic surfaces”, Mat. Zametki, 14:2 (1973), 233–242; Math. Notes, 14:2 (1973), 692–697
Citation in format AMSBIB
\Bibitem{Per73}
\by N.~G.~Perlova
\paper On some second-order rigidity conditions for analytic surfaces
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 2
\pages 233--242
\mathnet{http://mi.mathnet.ru/mzm7253}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=353217}
\zmath{https://zbmath.org/?q=an:0293.53002}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 2
\pages 692--697
\crossref{https://doi.org/10.1007/BF01147116}
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  • https://www.mathnet.ru/eng/mzm/v14/i2/p233
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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