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- Title
On nonuniqueness of geodesics and geodesic disks in the universal asymptotic Teichmüller space.
- Authors
Qi, Yi; Wu, Yan
- Abstract
The non-uniqueness on geodesics and geodesic disks in the universal asymptotic Teichmüller space AT(D) are studied in this paper. It is proved that if μ is asymptotically extremal in [[ μ]] with h *( μ) < h*( μ) for some point ζ ∈ ∂D, then there exist infinitely many geodesic segments joining [[0]] and [[ μ]], and infinitely many holomorphic geodesic disks containing [[0]] and [[ μ]] in AT(D).
- Subjects
GEODESICS; TEICHMULLER spaces; HOLOMORPHIC functions; BANACH spaces; QUASICONFORMAL mappings
- Publication
Acta Mathematica Sinica, 2017, Vol 33, Issue 2, p201
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-016-5399-1