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Infinitesimal Geometry of Quasiconformal and Bi-Lipschitz Mappings in the Plane

Publisher: 
European Mathematical Society
Number of Pages: 
214
Price: 
78.00
ISBN: 
9783037191224
Date Received: 
Friday, July 26, 2013
Reviewable: 
No
Include In BLL Rating: 
No
Bogdan Bojarski, Vladimir Gutlyanskii, Olli Martio, and Vladimir Ryazanov
Series: 
EMS Tracts in Mathematics 19
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

I. Quasiconformal Mappings in the Plane

  • Background of the theory
  • Conformal invariants
  • Definitions of quasiconformal maps
  • Compactness and convergence theory
  • Beltrami differential equation

II. Infinitesimal Geometry of Quasiconformal Maps

  • Infinitesimal space
  • Asymptotically conformal curves
  • Conformal differentiability
  • Points of maximal stretching
  • Lipschitz continuity of quasiconformal maps
  • Regularity of quasiconformal curves
  • Regularity of conformal maps at the boundary

III. Applications of Quasiconformal Maps

  • John's rotation problem
  • Variation of quasiconformal maps
  • Criteria of univalence
  • Bibliography
  • Index
Publish Book: 
Modify Date: 
Friday, July 26, 2013

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