Timeline for A continuous version of Teichmuller uniqueness
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2013 at 21:21 | vote | accept | Vamsi | ||
| Nov 19, 2013 at 20:59 | history | edited | Vamsi | CC BY-SA 3.0 |
Changed an assumption
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| Nov 19, 2013 at 20:41 | answer | added | Misha | timeline score: 1 | |
| Nov 19, 2013 at 15:10 | comment | added | Vamsi | Yes x is the norm of the Teichmuller map. Sorry, I am a novice in this field. So you are saying that if the $L^{\infty}$ norms of some Beltramis get close to the extremal $L^{\infty}$, then the corresponding q.c maps get close in the uniform topology (also I don't want just a subsequence but the entire sequence to converge)? If so, can you cite a reference. Thanks a million! | |
| Nov 19, 2013 at 5:52 | comment | added | Misha | Do you assume in the 2nd paragraph that $x$ is the norm of the Teichmuller map $g$ (equal to $f$ from the 1st paragraph)? Otherwise, the answer is clearly negative. If $g$ is indeed extremal, then the answer is obviously positive because of the convergence property for qc maps; convergence is uniform on the 2-sphere. | |
| Nov 19, 2013 at 0:01 | history | asked | Vamsi | CC BY-SA 3.0 |