Harmonic quasiconformal mappings of Riemannian manifolds
Authors:
Samuel I. Goldberg and Toru Ishihara
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
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References | Similar Articles | Additional Information
- 1. 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
- 2. 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 0367860, https://doi.org/10.2307/2373664
- 3. James Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160. MR 0164306, https://doi.org/10.2307/2373037
- 4. Tôru Ishihara, A remark on harmonic quasiconformal mappings, J. Math. Tokushima Univ. 5 (1971), 17–23. MR 0301673
- 5. Peter J. Kiernan, Quasiconformal mappings and Schwarz’s lemma, Trans. Amer. Math. Soc. 148 (1970), 185–197. MR 0255807, https://doi.org/10.1090/S0002-9947-1970-0255807-6
- 6. Shoshichi Kobayashi, Volume elements, holomorphic mappings and Schwarz’s lemma, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., LaJolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 253–260. MR 0237819
- 7. Yung-chen Lu, Holomorphic mappings of complex manifolds, J. Differential Geometry 2 (1968), 299–312. MR 0250243
- 8. H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193–233. MR 0224869, https://doi.org/10.1007/BF02392083
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1974-13499-3