Timeline for If every non null set of geodesics intersects itself in uniformly bounded finite time, is the manifold compact?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
May 13, 2021 at 15:33 | vote | accept | Nate River | ||
May 13, 2021 at 14:31 | answer | added | Leo Moos | timeline score: 3 | |
May 13, 2021 at 9:16 | comment | added | Nate River | Wouldn’t $\{v\}$ have null measure though? | |
May 13, 2021 at 9:15 | comment | added | David Hughes | Your condition implies all geodesics are closed - let $K = \{ v \}$ for some $v \in T_p M \setminus \{0\}$ - so the distance function on $M$ is bounded and hence, $M$ must be compact. | |
May 13, 2021 at 8:28 | history | edited | Nate River | CC BY-SA 4.0 |
deleted 7 characters in body
|
May 13, 2021 at 8:23 | history | edited | Nate River | CC BY-SA 4.0 |
added 1 character in body
|
May 13, 2021 at 8:10 | history | asked | Nate River | CC BY-SA 4.0 |