On the relation between the rigidity of order $k>3$ and analytic nonformability of surfaces

N. G. Perlova

Rostov State University

Abstract: 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.

UDC: 514

Received: 09.06.1994

Bibliographic databases:

•