Invariants of certain Lie actions. Instability of the Fredholm character

DOI10.1007/BF02567664zbMath0751.57013MaRDI QIDQ1191456

Aziz El Kacimi Alaoui

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155689

zbMATH Keywords

Fredholm operatorsdivergence formsinfinitesimal actionlocally free action of the Lie group of affine transformations of the line on 3- dimensional solvmanifolds

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Partial differential equations on manifolds; differential operators (58J99) Foliations in differential topology; geometric theory (57R30) Noncompact Lie groups of transformations (57S20)

Related Items (2)

A compact manifold with infinite-dimensional co-invariant cohomology ⋮ A finiteness theorem for transitive foliations and flat vector bundles

Cites Work

• Actions localement libres du groupe affine
• Transformation de Poisson de formes différentielles. Le cas de l'espace hyperbolique. (Poisson transformation of differential forms. The case of hyperbolic space)
• On G-invariant distributions
• Some remarks on foliations with minimal leaves
• Sur la division de formes et de courants par une forme linéaire
• Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
• Functions Which are Divergences
• Semicontinuity of Nullity of Deficiency Implies Normability of the Space

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