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Quasiconformal homeomorphisms on CR 3-manifolds with symmetries

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References

  1. Abikoff, W.: The Real Analytic Theory of Teichmüller Space. Berlin-Heidelberg-New York-London-Paris-Tokyo-Hong Kong: Springer-Verlag 1976

    Google Scholar 

  2. Ahlfors, Lars V.: On quasiconformal mappings. Journal D’Analyse Mathématique3: 1–58 (1953/54)

    Article  Google Scholar 

  3. Boothby, W. M. and Wang, H. C.: On contact manifolds. Annals of Math.68: 721–734 (1958)

    Article  MathSciNet  Google Scholar 

  4. Burago, Yu.D. and Zalgaller, V. A.: Geometric Inequalities. Grundlehren der mathematischen Wissenschaften. Vol. 285. Berlin-New York: Springer-Verlag 1988

    MATH  Google Scholar 

  5. Chow, Wei-Liang: Über Systeme von linearen partiellen Differentialgleichungen erster. Ordnung Math. Ann.117: 98–105 (1939)

    Article  MATH  Google Scholar 

  6. Epstein, C.L.: CR-structures on three dimensional circle bundles. Invent. math.109: 351–403 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kobayashi and Nomizu: Foundations of Differential Geometry. Vol. 1. New York-London: Interscience Publisher/John Wiley & Sons, Inc. 1963

    MATH  Google Scholar 

  8. Korányi, A. and Reimann, H.M.: Foundations for the theory of quasiconformal mappings on the Heisenberg group. Advances in Math (to appear)

  9. Korányi, A. and Reimann, H.M.: Quasiconformal mappings on CR manifolds Conference in honor of E. Vesentini. Springer Lecture Notes. No. 1422, pp. 59–75. Berlin-Heidelberg-New York: Springer 1988

    Google Scholar 

  10. Korányi, A. and Reimann, H.M.: Quasiconformal mappings on the Heisenberg group. Invent. math.80: 309–338 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  11. Lempert, László: On three dimensional Cauchy-Riemann manifolds. Journal of AMS5 no. 4: 923–969 (1992)

    MATH  MathSciNet  Google Scholar 

  12. Lempert, László: Private communication

  13. Li, Zhong: Quasiconformal Mappings and Their Applications in the Theory of Riemann Surfaces. Beijing: Science Publisher 1988

    Google Scholar 

  14. Liebermann, P.: Sur les automorphismes infinitésimaux des structures symplectiques et des structures de contact. Colloque de géométrie différentielle globale. Bruxelles. pp. 37–59 (1958)

  15. Mostow, G.D.: Strong rigidity of locally symmetric spaces. Ann. Math. Stud.78: 1–195 (1973)

    MathSciNet  Google Scholar 

  16. Nag, S.: The Complex Analytic Theory of Teichmüller Spaces. New York-Toronto-Chichester-Brisbane-Singapore: John Wiley & Sons 1988

    MATH  Google Scholar 

  17. Reid, William T.: Ordinary Differential Equations. New York-London-Sydney-Toronto: John Wiley & Sons, Inc. 1971

    MATH  Google Scholar 

  18. Stein, Elias M.: Singular Integrals and Differentiability Properties of Functions. Princeton, New Jersey: Princeton University Press 1970

    MATH  Google Scholar 

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Tang, P. Quasiconformal homeomorphisms on CR 3-manifolds with symmetries. Math Z 219, 49–69 (1995). https://doi.org/10.1007/BF02572349

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