Timeline for Can one recover a metric from geodesics?
Current License: CC BY-SA 3.0
12 events
when toggle format | what | by | license | comment | |
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Apr 9, 2020 at 22:48 | answer | added | Moishe Kohan | timeline score: 2 | |
Feb 3, 2015 at 15:57 | comment | added | Brian Rushton | This was one of Hilbert's questions. | |
Dec 27, 2013 at 17:27 | answer | added | Vladimir S Matveev | timeline score: 11 | |
Oct 11, 2013 at 1:07 | comment | added | Aeryk | A related question: "From shortest path to manifold structure" mathoverflow.net/questions/116292/… | |
Oct 10, 2013 at 21:58 | answer | added | Cristi Stoica | timeline score: 4 | |
May 31, 2013 at 18:53 | answer | added | Gerardo Arizmendi | timeline score: 2 | |
May 30, 2013 at 10:36 | comment | added | Robert Bryant | The counterexamples to 'uniqueness up to constant multiples' mentioned by alvarezpaiva and Christi Stoica, notwithstanding, it is true that for the generic metric $g$, even in dimension $2$, the only metrics that have the same geodesics (up to reparametrization) as $g$ are the constant multiples of $g$. Only very special metrics (in dimension $2$, these were classified by Dini) share their geodesics with more metrics than that. | |
May 30, 2013 at 1:54 | vote | accept | Axel | ||
May 29, 2013 at 18:01 | answer | added | alvarezpaiva | timeline score: 30 | |
May 29, 2013 at 17:57 | comment | added | Joseph O'Rourke | A question related in spirit: "Probing a manifold with geodesics" mathoverflow.net/questions/81622/… | |
May 29, 2013 at 17:32 | answer | added | Cristi Stoica | timeline score: 26 | |
May 29, 2013 at 17:17 | history | asked | Axel | CC BY-SA 3.0 |