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- Title
On Criterion of the Extremality and Construction of Hamilton Sequences for a Class of Teichmüller Mappings.
- Authors
Wu, Zemin; Lai, Wancai
- Abstract
It is proved that if f is a Teichmüller self-mapping of the unit disk with a holomorphic quadratic differential φ, and φ satisfies the growth condition [formula], r → 1, for any s >1, then f is extremal, and there exists a sequence {t[sub n]}, [formula], such that {φ (t[sub n]z)} is a Hamilton sequence. It is the precision of a theorem of Reich-Strebel in 1974, and gives a fairly satisfactory answer to a question of Reich in 1988. [formula available in full text].
- Subjects
HAMILTONIAN systems; TEICHMULLER spaces; MATHEMATICAL mappings
- Publication
Chinese Annals of Mathematics, 2000, Vol 21, Issue 3, p339
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1142/S0252959900000340