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Local rigidity

Local rigidity theorems in the theory of discrete subgroups of Lie groups are results which show that small deformations of certain such subgroups are always trivial. It is different from Mostow rigidity and weaker (but holds more frequently) than superrigidity.

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Overview

History

Statement

Other results

Proofs of the theorem

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Local rigidity

Nodes25
Edges24
Triples26
Avg. degree1.92
Density0.08
Components1

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Local rigidity

Top relations

related to Other results · 7
Local rigidity → An, CAT, Euclidean, For, Gamma, SU, There
related to Lattices in SL(2,C) · 6
Local rigidity → Dehn, Gamma, However, Local, SL, Thurston's
related to Lattices in simple groups not of type A1 or A1 × A1 · 5
Local rigidity → Gamma, Lie, SL, The, Whenever
related to Lattices in SL(2,R) · 4
Local rigidity → For, In, Non-cocompact, Teichmüller
related to Semisimple Lie groups · 4
Local rigidity → A1, Lie, Local, SL

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Important terminology

displaystyle gamma rigidity groups mathrm lie local lattices group holds sl deformations cocompact lattice subgroups mathbb locally statement results theory

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Local rigidityrelated to Lattices in simple groups not of type A1 or A1 × A1The0.60section
Local rigidityrelated to Lattices in simple groups not of type A1 or A1 × A1Gamma0.60section
Local rigidityrelated to Lattices in simple groups not of type A1 or A1 × A1Lie0.60section
Local rigidityrelated to Lattices in simple groups not of type A1 or A1 × A1SL0.60section
Local rigidityrelated to Lattices in simple groups not of type A1 or A1 × A1Whenever0.60section
Local rigidityrelated to Lattices in SL(2,C)Local0.60section
Local rigidityrelated to Lattices in SL(2,C)SL0.60section
Local rigidityrelated to Lattices in SL(2,C)Gamma0.60section
Local rigidityrelated to Lattices in SL(2,C)Thurston's0.60section
Local rigidityrelated to Lattices in SL(2,C)Dehn0.60section
Local rigidityrelated to Lattices in SL(2,C)However0.60section
Local rigidityrelated to Lattices in SL(2,R)In0.60section

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