Timeline for Illuminating piecewise-flat manifolds with geodesics
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2022 at 13:06 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| S Jul 4, 2017 at 6:21 | history | suggested | Martin Sleziak | CC BY-SA 3.0 |
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
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| Jul 4, 2017 at 5:56 | review | Suggested edits | |||
| S Jul 4, 2017 at 6:21 | |||||
| Jul 3, 2017 at 22:38 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image link broken; now fixed.
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| Nov 7, 2015 at 22:40 | answer | added | Matheus | timeline score: 2 | |
| Aug 4, 2010 at 23:34 | history | edited | Joseph O'Rourke | CC BY-SA 2.5 |
Addendum on selecting best answer.
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| Aug 4, 2010 at 23:26 | vote | accept | Joseph O'Rourke | ||
| Jul 27, 2010 at 18:14 | answer | added | Alex | timeline score: 4 | |
| Jul 21, 2010 at 21:43 | answer | added | Dmitri Panov | timeline score: 8 | |
| Jul 21, 2010 at 18:25 | history | edited | Joseph O'Rourke | CC BY-SA 2.5 |
deleted 1 characters in body
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| Jul 21, 2010 at 18:15 | history | edited | Joseph O'Rourke | CC BY-SA 2.5 |
Corrected Henrik's point re geodesics
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| Jul 21, 2010 at 18:01 | comment | added | Joseph O'Rourke | @Henrick: Good point about geodesics through vertices! They never go through positive-curvature vertices, but they could go through negative-curvature vertices. So, yes, I guess I was simply disallowing that. Apologies for these flaws! | |
| Jul 21, 2010 at 17:54 | history | edited | Joseph O'Rourke | CC BY-SA 2.5 |
Added further conditions in response to Henrik's example.
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| Jul 21, 2010 at 17:52 | comment | added | Joseph O'Rourke | @Henrik: Ah, I see I should specify two more aspects: the source of the geodesics should not be a vertex (like those red points in the figure), and the manifold should be closed. Sorry to alter the conditions on the fly! I will edit it ... | |
| Jul 21, 2010 at 17:29 | comment | added | HenrikRüping | "Because geodesics do not pass through vertices" means that you just don't consider geodesics, that would pass through vertices (because its unclear how you should extend them)? if so, you can just glue 7 regular triangles side by side (to get a filled 7-gon with a funny metric). Take one vertex point. Every geodesic from this point to a point in the opposing triangle must pass through the middle point. I guess one can make this example more elaborate by taking the regular tesselation of hyperbolic plane with 7 (or more) triangles meeting at each vertex etc. | |
| Jul 21, 2010 at 13:08 | history | asked | Joseph O'Rourke | CC BY-SA 2.5 |