Harmonic quasiconformal mappings of Riemannian manifolds
HTML articles powered by AMS MathViewer
- by Samuel I. Goldberg and Toru Ishihara PDF
- Bull. Amer. Math. Soc. 80 (1974), 562-566
References
- Shiing-shen Chern, On holomorphic mappings of hermitian manifolds of the same dimension. , Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 157–170. MR 0234397
- Shiing Shen Chern and Samuel I. Goldberg, On the volume decreasing property of a class of real harmonic mappings, Amer. J. Math. 97 (1975), 133–147. MR 367860, DOI 10.2307/2373664
- James Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160. MR 164306, DOI 10.2307/2373037
- Tôru Ishihara, A remark on harmonic quasiconformal mappings, J. Math. Tokushima Univ. 5 (1971), 17–23. MR 301673
- Peter J. Kiernan, Quasiconformal mappings and Schwarz’s lemma, Trans. Amer. Math. Soc. 148 (1970), 185–197. MR 255807, DOI 10.1090/S0002-9947-1970-0255807-6
- Shoshichi Kobayashi, Volume elements, holomorphic mappings and Schwarz’s lemma, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 253–260. MR 0237819
- Yung-chen Lu, Holomorphic mappings of complex manifolds, J. Differential Geometry 2 (1968), 299–312. MR 250243
- H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193–233. MR 224869, DOI 10.1007/BF02392083
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 562-566
- MSC (1970): Primary 53A99, 53C99, 30A60
- DOI: https://doi.org/10.1090/S0002-9904-1974-13499-3
- MathSciNet review: 0341335