A conformal de Rham complex (Q980400)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conformal de Rham complex |
scientific article |
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A conformal de Rham complex (English)
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29 June 2010
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A conformal map between two domains or Riemannian manifolds is a diffeomorphism preserving all angles. A quasiconformal map can be thought of as a homeomorphism which sends infinitesimal spheres to infinitesimal ellipsoids whose axes are uniformly bounded. In this article, the notion of a conformal de Rham complex of Riemannian manifolds is introduced. The associated cohomology as a new quasiconformal invariant of a graded differential Banach algebra is considered.
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quasiconformal maps
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quasiconformal invariants
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\(L_{q,p}\)-cohomology
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conformal de Rham complex
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Riemannian manifolds
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