Timeline for 2 questions about loops and negative curvature
Current License: CC BY-SA 3.0
9 events
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Dec 5, 2022 at 18:46 | history | edited | Anton Petrunin |
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Apr 15, 2012 at 14:00 | history | edited | student | CC BY-SA 3.0 |
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Apr 15, 2012 at 13:45 | history | edited | student | CC BY-SA 3.0 |
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Apr 14, 2012 at 12:04 | comment | added | Misha | No, the question is still misstated, currently you are asking if A implies A. | |
Apr 14, 2012 at 9:49 | history | edited | student | CC BY-SA 3.0 |
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Apr 14, 2012 at 4:34 | comment | added | Misha | Assuming Ian's reading of your question, take hyperbolic n-manifold $M$ containing a closed totally-geodesic subsurface $S$. Then most closed geodesics in $S$ are not simple but are are homotopic to simple loops in $M$ provided $n>2$. For part 3 answer is also negative for $n>2$. You should proofread your posts. | |
Apr 14, 2012 at 4:00 | answer | added | Anton Petrunin | timeline score: 2 | |
Apr 14, 2012 at 2:59 | comment | added | Ian Agol | in 1), do you mean $\alpha$ is a simple closed loop? | |
Apr 14, 2012 at 0:54 | history | asked | student | CC BY-SA 3.0 |