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We explore some generalizations of results in holomorphic motions that result from Earle's infinite-dimensional generalization of Montel's Theorem. We then investigate topological obstructions to extending holomorphic motions. We finish with some miscellaneous facts.
Advisor: | Jiang, Yunping, Mitra, Sudeb |
Commitee: | Dodziuk, Josef, Wang, Zhe |
School: | City University of New York |
Department: | Mathematics |
School Location: | United States -- New York |
Source: | DAI-B 73/09(E), Dissertation Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Applied Mathematics, Mathematics |
Keywords: | Holomorphic motions, Monodromy, Normal families, Quasiconformal motions, Teichmuller theory |
Publication Number: | 3508642 |
ISBN: | 978-1-267-34441-0 |