Timeline for Geodesics on the twisted pseudosphere (Dini's surface)
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2019 at 21:18 | answer | added | stepanp21 | timeline score: 7 | |
| Jul 6, 2016 at 14:27 | comment | added | Narasimham | The first and second fundamental forms are known, Geodesic curvatures of twisted and untwisted surface geodesics remain the same.This could help to chart their course.But for an untwisted axisymmetric case a single geodesic Clairaut's constant $ r \sin \psi = r_o$ should be given. Depending on this constant and start angle at cuspidal equator there are two ways how geodesics propagate on negative surfaces 1) oscillating/returning geodesics and 2) geodesics asymptotically approaching $ r_o $ This behavior is invariant in twisted surface as well. | |
| Nov 27, 2013 at 18:17 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
(Attempt at) Robert's geodesic.
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| Nov 26, 2013 at 10:44 | vote | accept | Joseph O'Rourke | ||
| Nov 25, 2013 at 17:11 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
deleted 39 characters in body
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| Nov 25, 2013 at 14:19 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Curve is not a geodesic.
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| Nov 25, 2013 at 14:09 | answer | added | Robert Bryant | timeline score: 17 | |
| Nov 25, 2013 at 12:31 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image now shows Will Sawin's geodesic.
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| Nov 25, 2013 at 0:52 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |