On infinitesimal deformations of convex surfaces with a boundary condition of generalized translation

It is said that the exterior connection of a surface is almost rigid with $p$, $p\geqslant0$, degrees of freedom if the surface admits of $p$ linearly independent infinitesimal deformations. In this article we establish an almost-rigidity test with three degrees of freedom under a generalized translation for a certain class of convex surfaces with an edge.
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