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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
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
(38 #2714)
- 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
(51 #4102)
- 3.
James
Eells Jr. and J.
H. Sampson, Harmonic mappings of Riemannian manifolds, Amer.
J. Math. 86 (1964), 109–160. MR 0164306
(29 #1603)
- 4.
Tôru
Ishihara, A remark on harmonic quasiconformal mappings, J.
Math. Tokushima Univ. 5 (1971), 17–23. MR 0301673
(46 #829)
- 5.
Peter
J. Kiernan, Quasiconformal mappings and
Schwarz’s lemma, Trans. Amer. Math.
Soc. 148 (1970),
185–197. MR 0255807
(41 #467), http://dx.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
(38 #6100)
- 7.
Yung-chen
Lu, Holomorphic mappings of complex manifolds, J. Differential
Geometry 2 (1968), 299–312. MR 0250243
(40 #3482)
- 8.
H.
Wu, Normal families of holomorphic mappings, Acta Math.
119 (1967), 193–233. MR 0224869
(37 #468)
- 1.
- S. S. 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 38 #2714. MR 234397
- 2.
- S. S. Chern and S. I. Goldberg, On the volume-decreasing property of a class of real harmonic mappings, Amer. J. Math, (to appear). MR 367860
- 3.
- J. Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 29 #1603. MR 164306
- 4.
- T. Ishihara, A remark on harmonic quasiconformal mappings, J. Math. Tokushima Univ. 5 (1971), 17-23. MR 46 #829. MR 301673
- 5.
- P. J. Kiernan, Quasiconformal mappings and Schwarz's lemma, Trans. Amer. Math. Soc. 148 (1970), 185-197. MR 41 #467. MR 255807
- 6.
- S. Kobayashi, Volume elements, homomorphic 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 38 #6100. MR 237819
- 7.
- Y. C. Lu, Holomorphic mappings of complex manifolds, J. Differential Geometry 2 (1968), 299-312. MR 40 #3482. MR 250243
- 8.
- H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193-233. MR 37 #468. MR 224869
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13499-3
PII:
S 0002-9904(1974)13499-3
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