Duality Theorems in Deformation Theory

DOI10.2307/2000169zbMath0573.58026OpenAlexW4237083371MaRDI QIDQ3692520

Hubert Goldschmidt

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000169

zbMATH Keywords

spectral sequencedifferential operatorsemi-simple Lie algebraconformally flat Riemannian manifoldRiemannian manifold of constant curvatureself-adjoint resolutions

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Graded Lie (super)algebras (17B70) Differential complexes (58J10) Cohomology of Lie (super)algebras (17B56)

Related Items

Topological indices of Spencer complexes associated with geometric structures ⋮ The Calabi complex and Killing sheaf cohomology ⋮ Cohomology with causally restricted supports

Cites Work

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• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Sur la structure des équations de Lie. II: Equations formellement transitives
• Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I: Infinitesimal deformations of structure. II: Deformations of structure
• On deformations of complex analytic structures. I
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Existence theorems for analytic linear partial differential equations
• On deformations of some complex pseudo-group structures
• Les espaces symétriques noncompacts
• Characteristic Classes. (AM-76)
• Overdetermined systems of linear partial differential equations
• Geometry Associated with Semisimple Flat Homogeneous Spaces

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