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Difference between revisions of "Pseudo-conformal mapping"

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A [[Biholomorphic mapping|biholomorphic mapping]] of a domain <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p075/p075640/p0756401.png" /> of a space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p075/p075640/p0756402.png" /> onto a domain <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p075/p075640/p0756403.png" /> when <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p075/p075640/p0756404.png" />. The name is connected with the fact that when <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p075/p075640/p0756405.png" /> this mapping is not, generally speaking, a [[Conformal mapping|conformal mapping]].
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A [[Biholomorphic mapping|biholomorphic mapping]] of a domain $D$ of a space $\mathbf C^n$ onto a domain $D'\subset\mathbf C^n$ when $n>1$. The name is connected with the fact that when $n>1$ this mapping is not, generally speaking, a [[Conformal mapping|conformal mapping]].
  
  

Latest revision as of 20:20, 11 April 2014

A biholomorphic mapping of a domain $D$ of a space $\mathbf C^n$ onto a domain $D'\subset\mathbf C^n$ when $n>1$. The name is connected with the fact that when $n>1$ this mapping is not, generally speaking, a conformal mapping.


Comments

This terminology is quite uncommon in the English literature. See Biholomorphic mapping for further information and references.

How to Cite This Entry:
Pseudo-conformal mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-conformal_mapping&oldid=15033
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article