| Type of Document |
Dissertation |
| Author |
Saenz Maldonado, Edgar Arturo
|
| Author's Email Address |
easaenzm@vt.edu |
| URN |
etd-05102012-234227 |
| Title |
On Nearly Euclidean Thurston Maps |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Floyd, William J. |
Committee Chair |
| Hagedorn, George A. |
Committee Member |
| Haskell, Peter E. |
Committee Member |
| Kay, Leslie D. |
Committee Member |
|
| Keywords |
- nonseparating sets
- constant pullback map
- finite subdivision rules
- Thurston maps
|
| Date of Defense |
2012-05-01 |
| Availability |
unrestricted |
Abstract
Nearly Euclidean Thurston maps are simple generalizations of rational Lattes maps. A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map.
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(Hours:Minutes:Seconds)
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56K Modem |
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Saenz_EA_D_2012.pdf |
820.48 Kb |
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