Geodesic
On the relation between the rigidity of order $k>3$ and analytic nonformability of surfaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 456-462.

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It is proved, that if every $C^1$-smooth $1$ order infinitesimal deformation of the regular surface of $C^1$-class can be extended to the $(k-1)$ order infinitesimal deformation ($k>3$), then the $k$ order rigidity of this surface implies its analytic nonbending. 
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     author = {N. G. Perlova},
     title = {On the relation between the rigidity of order $k>3$ and analytic nonformability of surfaces},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {456--462},
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     volume = {2},
     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_a15/}
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N. G. Perlova. On the relation between the rigidity of order $k>3$ and analytic nonformability of surfaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 456-462. http://geodesic.mathdoc.fr/item/JMAG_1995_2_a15/