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The influence of the boundary behavior on isometric immersions in the hyperbolic space

✍ Scribed by L. Jorge; H. Mirandola; F. Vitorio


Publisher
Springer
Year
2009
Tongue
English
Weight
199 KB
Volume
93
Category
Article
ISSN
0003-889X

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The boundary of the Gieseking tree in hy
✍ R.C. Alperin; Warren Dicks; J. Porti πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 541 KB

We give an elementary proof of the Cannon-Thurston Theorem in the case of the Gieseking manifold. We do not use Thurston's structure theory for Kleinian groups but simply calculate with two-by-two complex matrices. We work entirely on the boundary, using ends of trees, and obtain pictures of the reg