Nakai, Mitsuru; Tanaka, Hiroshi Existence of quasiconformal mappings between Riemannian manifolds. (English) Zbl 0501.30017 Kodai Math. J. 5, 122-131 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 30C62 Quasiconformal mappings in the complex plane Keywords:Riemannian manifold; Royden compactification; quasiconformal homeomorphism PDFBibTeX XMLCite \textit{M. Nakai} and \textit{H. Tanaka}, Kodai Math. J. 5, 122--131 (1982; Zbl 0501.30017) Full Text: DOI References: [1] P. CARAMAN, Characterization of quasiconformality by arc families of extremal length zero. Ann. Acad. Sci. Fenn. Ser. A I, 528, (1973), 1-10. · Zbl 0263.30021 [2] F. GEHRING, Symmetrization of rings in space. Trans. Amer. Math. Soc, 101 (1961), 499-519. · Zbl 0104.30002 [3] F. GEHRING, Rings and quasiconformal mappings in space. Trans. Amer. Math. Soc, 103 (1962), 353-393. · Zbl 0113.05805 [4] O. LEHTO AND K. I. VIRTANEN, Quasikonforme Abbildungen. Springer 1965. · Zbl 0138.30301 [5] J. LELONG-FERRAND, Etude d’une classe duplications liees a des homomorphismes d’algebras de functions, et generalisant les quasi conformes. Duke Math. J., 40 (1973), 163-183. · Zbl 0272.30025 [6] L. G. LEWIS, Quasiconformal mappings and Royden algebras in space. Trans. Amer. Math. Soc, 158 (1971), 481-492. Zentralblatt MATH: · Zbl 0214.38302 [7] C. LOEWNER, On the conformal capacity in space. J. Math. Mech., 8 (1959), 411-414. · Zbl 0086.28203 [8] M. NAKAI, Algebraic criterion on quasiconformal equivalence of Riemann surfaces. Nagoya Math. J., 16 (1960), 157-184. · Zbl 0096.06101 [9] M. NAKAI, Royden’s map between Riemann surfaces. Bull. Amer. Math. Soc, 72 (1966), 1003-1005. · Zbl 0152.27402 [10] M. NAKAI, Royden algebras and quasi-isometries of Riemannian manifolds. Pacific J. Math., 40 (1972), 397-414. · Zbl 0241.31014 [11] L. SARIO AND M. NAKAI, Classification theory of Riemann surfaces. Springer 1970. · Zbl 0199.40603 [12] J. VASALA, Lectures on n-dimensional quasiconformal mappings. Lecture notes in mathematics, 229, Springer 1971. · Zbl 0221.30031 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.