Nonrigidity of certain composite surfaces of revolution

I. Ivanova-Karatopraklieva

M. V. Lomonosov Moscow State University

Abstract: The nonrigidity of the composite surfaces of revolution $\Sigma=S_1+S_2+S_3$ is analyzed, where $S_1$ and $S_2$ are internally glued and $S_2$ and $S_3$ are externally glued together. It is shown that cases of rigidity as well as nonrigidity can obtain for surfaces of this type.

UDC: 513

Received: 21.07.1969

 English version: Mathematical Notes, 1971, 10:3, 623–629

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