Structural Stability and Group Cohomology

DOI10.2307/1999054zbMath0512.58024OpenAlexW4237300605MaRDI QIDQ3657099

Philip Fleming

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999054

zbMATH Keywords

Sobolev spacestationary pointlocal rigidity theoremactions on the circleadjoint action of a Lie groupsmooth Hilbert manifoldStowe's stability theorem

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Compact Lie groups of differentiable transformations (57S15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Local rigidity and group cohomology I: Stowe's theorem for Banach manifolds ⋮ Deformations of groups of gauge transformations

Cites Work

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• Axiom A actions
• Remarks on the cohomology of groups
• Groups of diffeomorphisms and the motion of an incompressible fluid
• A structural stability theorem
• Ergodicity of Anosov actions
• Equivalence of nearby differentiable actions of a compact group
• The Stationary Set of a Group Action

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