Complex Analysis Joensuu 1978 pp 10-23 | Cite as
On the Grötzsch and Rengel inequalities
Conference paper
First Online:
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.
References
- [1]Agard, S.: Angles and quasiconformal mappings in space. J. Analyse math. 22 (1969), 177–200.MathSciNetCrossRefMATHGoogle Scholar
- [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]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]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]Andreian Cazacu, C.: Some problems in quasiconformality, in "Proceedings of the III Romanian-Finnish Seminar on Complex Analysis 1976". In print.Google Scholar
- [6]Andreian Cazacu, C.: Affine properties of the quasiconformal mappings. Lucrarile Simpozionului National Gh. Tiţeica, 1978. In print.Google Scholar
- [7]Andreian Cazacu, C.: On the geometric definition of the quasiconformality. To appear.Google Scholar
- [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]Caraman, P.: n-dimensional quasiconformal mappings. Editura Academiei Republicii Socialiste România, Bucureşti and Abacus Press, Tunbridge Wells, Kent (1974).MATHGoogle Scholar
- [10]Gehring, F. W., Väisälä, J.: On the geometric definition for quasiconformal mappings. Commentarii math. Helvet. 36 (1961), 19–32.CrossRefMATHGoogle Scholar
- [11]Nevanlinna, R.: A remark on differentiable mappings. Michigan math. J. 3 (1955), 53–57.MathSciNetCrossRefMATHGoogle Scholar
- [12]Pfluger, A.: Über die Äquivalenz der geometrischen und der analytischen Definition quasikonformer Abbildungen. Commentarii math. Helvet. 33 (1959), 23–33.MathSciNetCrossRefMATHGoogle Scholar
- [13]Väisälä, J.: Two new characterizations for quasiconformality. Ann. Acad. Sci. Fenn., Ser. A I 362 (1965).Google Scholar
- [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