A note on Hamilton sequences for extremal Beltrami coefficients
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- by Shen Yu-Liang
- Proc. Amer. Math. Soc. 129 (2001), 105-109
- DOI: https://doi.org/10.1090/S0002-9939-00-05501-5
- Published electronically: July 27, 2000
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Abstract:
F. P. Gardiner gave a sufficient condition for a sequence to be a Hamilton sequence for an extremal Beltrami coefficient. In this note, we shall consider the converse problem, proving that the condition is not necessary.References
- Frederick P. Gardiner, Approximation of infinite-dimensional Teichmüller spaces, Trans. Amer. Math. Soc. 282 (1984), no. 1, 367–383. MR 728718, DOI 10.1090/S0002-9947-1984-0728718-7
- Frederick P. Gardiner, Teichmüller theory and quadratic differentials, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. MR 903027
- Richard S. Hamilton, Extremal quasiconformal mappings with prescribed boundary values, Trans. Amer. Math. Soc. 138 (1969), 399–406. MR 245787, DOI 10.1090/S0002-9947-1969-0245787-3
- S. L. Kruškal′, On the theory of extremal quasiconformal mappings, Sibirsk. Mat. Ž. 10 (1969), 573–583 (Russian). MR 0241633
- Nikola Lakic, Strebel points, Lipa’s legacy (New York, 1995) Contemp. Math., vol. 211, Amer. Math. Soc., Providence, RI, 1997, pp. 417–431. MR 1476999, DOI 10.1090/conm/211/02832
- Edgar Reich and Kurt Strebel, Extremal quasiconformal mappings with given boundary values, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 375–391. MR 0361065
Bibliographic Information
- Shen Yu-Liang
- Affiliation: Department of Mathematics, Suzhou University, Suzhou 215006, People’s Republic of China
- MR Author ID: 360822
- Email: ylshen@suda.edu.cn
- Received by editor(s): November 11, 1998
- Received by editor(s) in revised form: March 8, 1999
- Published electronically: July 27, 2000
- Additional Notes: Project supported by the National Natural Science Foundation of China
- Communicated by: Albert Baernstein II
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 105-109
- MSC (2000): Primary 32G15, 30F60, 30C62, 30C70
- DOI: https://doi.org/10.1090/S0002-9939-00-05501-5
- MathSciNet review: 1695107