Abstract
Infinitesimal deformations of ribbed surfaces of revolution Sn with preservation of the normal curvature (A) or geodesic torsion (B) of the boundary parallel are investigated. The following are proved: a convex surface Sn is rigid under deformations (A) and (B); there are nonconvex surfaces Sn that are nonrigid under deformations (A) and (B); any surface Sn has second-order rigidity under deformations (A); a surface Sn that is nonrigid under these deformations.
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