Abstract
We prove, by using the main inequality of Reich and Strebel, that any n K-quasiconformal germs defined on n disjoint domains in the Riemann sphere can be glued by one (K + ε)-quasiconformal homeomorphism, where ε is a positive number which can go to zero as the domains of germs shrinking to n points. This generalizes a result in [8] where only the case K = 1 has been considered.
| Original language | English |
|---|---|
| Pages (from-to) | 415-424 |
| Number of pages | 10 |
| Journal | Kodai Mathematical Journal |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Conformal germ
- Gluing
- Main inequality
Fingerprint
Dive into the research topics of 'A gluing theorem for quasiconformal mappings'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver