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Apart from the differential geometric rigidity, there is also the rigidity as the antonym to the structural stability: an object cannot be deformed by a topological equivalence unless it is "the same" object from the, say, linear (or smooth, or analytic) point of view.

Besides, there is Mostow rigidity and several other meanings of the word...

For Mostow rigidtiy Discrete subgroup see here. ~~----
below the 38 pages files containing the keyword "rigidity". There are 120 containing the strin "rigid", should these occur here as well? --Ulf Rehmann 17:31, 6 May 2012 (CEST)

3-Sasakian manifold | Analytic manifold | Anti-de Sitter space | Baumslag-Solitar group | Blaschke-Weyl formula | Commutative group scheme | Convex surface | Deformation | Deformation, isometric | Dimension polynomial | Discrete subgroup | Elasticity theory, planar problem of | Elliptic genera | Geometry in the large | Harmonic mapping | Herglotz formula | Horocycle flow | Index theory | Infinitesimal deformation | Isoperimetric inequality | Lattice | Moduli theory | Oscillator, harmonic | Period mapping | Quasi-conformal mapping | Quasi-isometry | Riemannian geometry in the large | Rigidity | Santaló formula | Satake compactification | Shafarevich conjecture | Singular point | Symmetrization | Tight and taut immersions | Trough | Uniform subgroup | Von Kármán equations | Zassenhaus conjecture

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