This article is cited in 2 papers

On some second-order rigidity conditions for analytic surfaces

N. G. Perlova

Rostov State University

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.

UDC: 513

Received: 06.06.1972

 English version: Mathematical Notes, 1973, 14:2, 692–697

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