• DocumentCode
    2550279
  • Title

    A Theorem of Quasi-Conformal Homomorphism in n-Space

  • Author

    Qiong, Lin ; Yi-chuan, Wang

  • Author_Institution
    Dept. of Found. Studies, Logistical Eng. Univ., Chongqing
  • fYear
    2008
  • fDate
    13-15 Dec. 2008
  • Firstpage
    78
  • Lastpage
    80
  • Abstract
    Let Rn be a n-dimension Euclidean space (n ges 2), D sub Rn is a proper sub-domain of Rn, for x, y isinD, 0 < c < 1, kD(x, y) > log(1/(1-c)). There is a quasi-conformal homomorphism F:Rn rarr Rn with the following properties: (1) kD (x,F(y)) les log(1/(1-c)); (2) F:RnD rarr RnD is the identity; (3) log kD(F) les (1/c)kD(x, y).
  • Keywords
    conformal mapping; hyperbolic equations; Euclidean space; quasi-conformal homomorphism; quasi-hyperbolic geodesic; quasi-hyperbolic metric; C-Convex curve; quasi-conformal homomorphism; quasi-hyperbolic geodesic; quasi-hyperbolic metric;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Apperceiving Computing and Intelligence Analysis, 2008. ICACIA 2008. International Conference on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4244-3427-5
  • Electronic_ISBN
    978-1-4244-3426-8
  • Type

    conf

  • DOI
    10.1109/ICACIA.2008.4769975
  • Filename
    4769975