Timeline for Geodesics on a twisted torus
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Jul 9, 2021 at 16:19 | answer | added | Georgi Marinov | timeline score: 1 | |
| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Mar 10, 2017 at 9:42 | history | edited | CommunityBot |
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| Oct 28, 2012 at 16:42 | comment | added | Hans-Peter Stricker | @Will: Please have a look here: mathoverflow.net/questions/110917/… | |
| Oct 28, 2012 at 12:12 | comment | added | Hans-Peter Stricker | @Will: I will try to clarify this in a follow-up question I am just working on. | |
| Oct 27, 2012 at 19:32 | comment | added | Will Sawin | Is it obvious what twisting means geometically? Can you clarify exactly what operation this is? | |
| Oct 27, 2012 at 18:41 | answer | added | Peter Michor | timeline score: 6 | |
| Oct 24, 2012 at 16:06 | comment | added | Kelly Davis | Take a marker, draw a geodesic curve on the torus, then do a Dehn twist. The resulting curve is a geodesic as the geodesic equation is local. With this you can easily see how the families above map to one-another. | |
| Oct 23, 2012 at 23:09 | comment | added | Hans-Peter Stricker | @Anton: To be honest, I have nothing overly specific in mind when asking for "the structure of geodesics". It's partly about the classification of geodesics - does it still hold after a twist? -, and it's partly about something comparable to the cycle space of a graph (en.wikipedia.org/wiki/Cycle_space). | |
| Oct 23, 2012 at 22:49 | comment | added | Hans-Peter Stricker | @Anton: Where do the equators go? How do they survive? | |
| Oct 23, 2012 at 22:48 | history | edited | Hans-Peter Stricker | CC BY-SA 3.0 |
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| Oct 23, 2012 at 22:40 | comment | added | Anton Petrunin | BTW, the equator will move but it will survive. | |
| Oct 23, 2012 at 22:39 | comment | added | Anton Petrunin | I did not understand the question but want to say something. $$ $$ If the torus can be is fibered by closed geodesics then any other geodesic has to go transverally to the fibers. I think that is the only idea behind any statement in this direction; i.e., if it does not help then nothing will help. | |
| Oct 23, 2012 at 22:18 | history | asked | Hans-Peter Stricker | CC BY-SA 3.0 |