Timeline for Special Riemannian metrics on $n$-torus
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 1, 2023 at 10:34 | comment | added | Shah Faisal | This extra property I want has to do something with the ergodicity of the geodesic flow. | |
| Mar 1, 2023 at 10:07 | comment | added | Shah Faisal | @LeoMoos, thanks for your comment and the reference. Property (1) comes from the infinite-dimensional Sard-Smale theorem. The estimate in Property (2) follows from the Morse Index Theorem for closed geodesics. | |
| Feb 28, 2023 at 9:35 | comment | added | Leo Moos | Could you add a reference for the 'it is known' part? Perhaps someone (more knowledgeable than me, in any case) could explain why the argument could be adapted to what you want to show. As I said, I'm no expert on this, but it reminds me a bit of these arguments that Kei Irie uses. See his paper 'Dense existence of periodic Reeb orbits [...]' and his paper 'Density of minimal hypersurfaces [...]' with Marques and Neves. | |
| S Feb 27, 2023 at 21:46 | review | First questions | |||
| Feb 27, 2023 at 23:33 | |||||
| S Feb 27, 2023 at 21:46 | history | asked | Shah Faisal | CC BY-SA 4.0 |