Abstract
In this paper we study infinitesimal deformations of convex pieces of surfaces with boundary. It is assumed that the surface has positive gaussian curvature K > 0. We investigate infinitesimal deformations, subject on the boundary of the surface to the condition λ δkn + μδτg = σ, where δkn and δτg are variations of the normal curvature and geodesic torsion of the boundary, λ and μ are fixed known functions, and σ an arbitrary given function. We establish necessary and sufficient conditions for the rigidity of the surface under these boundary conditions. Bibliography: 12 entries.
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