Convergence and degeneracy of quasiconformal maps of Riemannian manifolds (Q2565371)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and degeneracy of quasiconformal maps of Riemannian manifolds |
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Convergence and degeneracy of quasiconformal maps of Riemannian manifolds (English)
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25 February 1997
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It is proved that the global behaviour of a sequence of quasiconformal injections is the same for Riemannian manifolds as for the Möbius or Euclidean spaces. The degenerate cases can only appear when the manifolds are quasiconformally equivalent to domains of the \(n\)-dimensional sphere.
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quasiconformal maps
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conformal capacity
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\(c\)-convergence
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equicontinuity
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normal family
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