Timeline for Upper bound on index of geodesics in terms of length
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Mar 24, 2021 at 2:04 | history | bounty ended | CommunityBot | ||
| S Mar 24, 2021 at 2:04 | history | notice removed | CommunityBot | ||
| Mar 16, 2021 at 12:40 | comment | added | user142700 | @LeoMoos I was not aware of this fact concerning bumpy metrics. Do you know a reference where this property is mentioned? | |
| Mar 16, 2021 at 3:31 | comment | added | Leo Moos | For the generic set of so-called bumpy metrics the closed geodesics satisfy your multiplicity condition, no? In general maybe you could try to argue by contradiction, and extract a subsequence converging to some limit geodesic $\gamma$. In naive terms one might hope to prove some continuity of the second variation, although I'm a bit skeptical... (This fails in the 'higher-dimensional case', when one works with minimal surfaces.) | |
| S Mar 16, 2021 at 0:23 | history | bounty started | user142700 | ||
| S Mar 16, 2021 at 0:23 | history | notice added | user142700 | Draw attention | |
| Mar 13, 2021 at 23:15 | history | asked | user142700 | CC BY-SA 4.0 |