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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 1, Pages 49–60
DOI: https://doi.org/10.1070/SM1984v049n01ABEH002696 (Mi sm2153) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Infinitesimal bendings of a class of multidimensional surfaces with boundary

P. E. Markov
English version PDF (696 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1984v049n01ABEH002696
Abstract: Infinitesimal bendings are considered for a $2k$-dimensional ($k\geqslant1$) surface of class $C^2$ with boundary in $3k$-dimensional Euclidean space in the case when the surface is star-shaped with respect to some $(k-1)$-dimensional plane or projects in a one-to-one manner on some $2k$-dimensional plane. Tests are established for the rigidity of such surfaces under boundary conditions of sliding.
Bibliography: 12 titles.
Received: 21.01.1982
Bibliographic databases:
UDC: 513.736
MSC: Primary 53A05, 53C45, 58H15; Secondary 58G05
Language: English
Original paper language: Russian
Citation: P. E. Markov, “Infinitesimal bendings of a class of multidimensional surfaces with boundary”, Math. USSR-Sb., 49:1 (1984), 49–60
Citation in format AMSBIB
\Bibitem{Mar83}
\by P.~E.~Markov
\paper Infinitesimal bendings of a~class of multidimensional surfaces with boundary
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 1
\pages 49--60
\mathnet{http://mi.mathnet.ru/eng/sm2153}
\crossref{https://doi.org/10.1070/SM1984v049n01ABEH002696}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=699737}
\zmath{https://zbmath.org/?q=an:0546.53005}
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  • https://www.mathnet.ru/eng/sm/v163/i1/p48
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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