On the Grötzsch and Rengel inequalities

  • Cabiria Andreian Cazacu
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 747)

Keywords

Conformal Mapping Quasiconformal Mapping Affine Mapping Extremal Length Quasiconformal Homeomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Agard, S.: Angles and quasiconformal mappings in space. J. Analyse math. 22 (1969), 177–200.MathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    Agard, S.: Quasiconformal mappings and the moduli of p-dimensional surface families, in "Proceedings of the Romanian-Finnish Seminar on Teichmüller spaces and quasiconformal mappings, Braşov, Romania 1969". Publishing House of the Academy of RSR, Bucharest (1971), 9–48.Google Scholar
  3. [3]
    Andreian Cazacu, C.: Sur les inégalités de Rengel et la définition géométrique des représentations quasi-conformes. Revue Roumaine Math. pur. appl. 9 (1964), 141–155.MathSciNetMATHGoogle Scholar
  4. [4]
    Andreian Cazacu, C.: Some formulae on the extremal length in n-dimensional case, in "Proceedings of the Romanian-Finnish Seminar on Teichmüller spaces and quasiconformal mappings, Braşov, Romania 1969". Publishing House of the Academy of RSR, Bucharest (1971), 87–102.Google Scholar
  5. [5]
    Andreian Cazacu, C.: Some problems in quasiconformality, in "Proceedings of the III Romanian-Finnish Seminar on Complex Analysis 1976". In print.Google Scholar
  6. [6]
    Andreian Cazacu, C.: Affine properties of the quasiconformal mappings. Lucrarile Simpozionului National Gh. Tiţeica, 1978. In print.Google Scholar
  7. [7]
    Andreian Cazacu, C.: On the geometric definition of the quasiconformality. To appear.Google Scholar
  8. [8]
    Caraman, P.: About the characterization of the quasiconformality (QCf) by means of the moduli of q-dimensional surface families. Revue Roumaine Math. pur. appl. 16 (1971), 1329–1348.MathSciNetMATHGoogle Scholar
  9. [9]
    Caraman, P.: n-dimensional quasiconformal mappings. Editura Academiei Republicii Socialiste România, Bucureşti and Abacus Press, Tunbridge Wells, Kent (1974).MATHGoogle Scholar
  10. [10]
    Gehring, F. W., Väisälä, J.: On the geometric definition for quasiconformal mappings. Commentarii math. Helvet. 36 (1961), 19–32.CrossRefMATHGoogle Scholar
  11. [11]
    Nevanlinna, R.: A remark on differentiable mappings. Michigan math. J. 3 (1955), 53–57.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    Pfluger, A.: Über die Äquivalenz der geometrischen und der analytischen Definition quasikonformer Abbildungen. Commentarii math. Helvet. 33 (1959), 23–33.MathSciNetCrossRefMATHGoogle Scholar
  13. [13]
    Väisälä, J.: Two new characterizations for quasiconformality. Ann. Acad. Sci. Fenn., Ser. A I 362 (1965).Google Scholar
  14. [14]
    Väisälä, J.: Lectures on n-dimensional quasiconformal mappings. Lecture Notes in Mathematics 229, Springer-Verlag, Berlin-Heidelberg-New York (1971).MATHGoogle Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Cabiria Andreian Cazacu
    • 1
  1. 1.Facultatea de MatematicäUniversitatea din BucureştiBucureştiRomania

Personalised recommendations