Periodic quasimeromorphic mappings inR n

Journal d'Analyse Mathematique - Tập 28 - Trang 20-40 - 1975
Olli Martio1,2,3, Uri Srebro1,2,3
1Israel Institute of Technology, University of Helsinki, Haifa
2Israel Institute of Technology, University of Minnesota, Haifa
3Israel Institute of Technology, Technion, Haifa

Tài liệu tham khảo

S. Agard and A. Marden,A removable singularity theorem for local homeomorphisms, Indiana Math. J.20 (1970), 455–461. P. T. Church and E. Hemmingsen,Light open maps on n-manifolds, Duke Math. J.27 (1960), 527–536. F. W. Gehring,Rings and quasiconformal mappings in space, Trans. Amer. Math. Soc.103 (1962), 353–393. F. W. Gehring and J. VÄisÄlÄ,The coefficients of quasiconformality of domains in space, Acta Math.114 (1965), 1–70. J. G. Hocking and G. S. Young,Topology, Addison-Wesley, 1961. O. Lehto and K. I. Virtanen,Quasikonforme Abbildungen, Springer-Verlag, 1965. O. Martio,A capacity inequality for quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I474 (1970), 1–18. O. Martio, S. Rickman, and J. VÄisÄlÄ,Definitions for quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I448 (1969), 1–40. O. Martio, S. Rickman and J. VÄisÄlÄ,Distortion and singularities of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I465 (1970), 1–13. O. Martio, S. Rickman and J. VÄisÄlÄ,Topological and metric properties of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I488 (1971), 1–31. G. D. Mostow,Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Inst. Hautes études Sci. Publ. Math.34 (1968), 53–104. T. Rado, and P. V. Reichelderfer,Continuous Transformation in Analysis, Springer Verlag, 1955. J. G. Resetnyak,Bounds on moduli of continuity for certain mappings, Sibirsk. Mat. Z.7(1966), 1106–1114. J. G. Resetnyak,Index boundedness condition for mappings with bounded distortion, Sibirsk. Mat. Z.9 (1968), 368–374. J. G. Resetnyak,Mappings with bounded deformation as extremals of Dirichlet type integrals, Sibirsk. Mat. Z.9 (1968), 652–666. J. VÄisÄlÄ,Discrete open mappings on manifolds, Ann. Acad. Sci. Fenn. Ser. A I392 (1966), 1–10. J. VÄisÄlÄ,Lectures on n-Dimensional Quasiconformal Mappings, Lecture Notes in Mathematics 229, Springer Verlag, 1971. G. T. Whyburn,Analytic Topology, Amer. Math. Soc. Colloquium Publications, 1942. V. A. Zoric,A theorem of M. A. Lavrentev on quasiconformal space maps, Mat. Sb.74 (1967), 417–433.