Group Actions on Spin Manifolds

DOI10.2307/1996351zbMath0238.57022OpenAlexW4229506193MaRDI QIDQ5649134

Graciela Chichilnisky

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996351

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (14)

Spinors and diffeomorphisms ⋮ G-invariant spin structures on spheres ⋮ Smooth infinite economies ⋮ A topological invariant for competetive markets ⋮ Unnamed Item ⋮ Generic properties of simple Bergson-Samuelson welfare functions ⋮ Social choice and the topology of spaces of preferences ⋮ The topological equivalence of the Pareto condition and the existence of a dictator ⋮ Continuity properties of majority rule with intermediate preferences ⋮ Equivariant spin bordism in low dimensions ⋮ Infinitely many solutions for the spinorial Yamabe problem on the round sphere ⋮ Group Actions on Spin Manifolds ⋮ Necessary and sufficient conditions for a resolution of the social choice paradox ⋮ Physics from the G-bundle viewpoint

Cites Work

• Spin structures on manifolds
• The group of isometries of a Riemannian manifold
• On unitary ray representations of continuous groups
• On Automorphisms of A Kählerian Structure
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Global Existence of Spin Structures for Gravitational Fields
• Spinor Structure of Space-Times in General Relativity. I
• Hamiltonian Systems with Spin
• Group Actions on Spin Manifolds
• Lie groups and quantum mechanics
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