Timeline for Intersection of $n$-dimensional minimal surfaces with two-dimensional planes
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 18, 2023 at 14:43 | comment | added | Leo Moos | @WillieWong Yes, that's what I had in mind. I am happy to fix $k = 1$ if this makes the question more tractable, but I'm not sure it helps much. Regarding the sort of results I would be interested in: if for example the same description were possible for generic $\Pi \subset T_p M$, or else maybe something like $\mathcal{H}^1(M \cap \Pi) = 0$ unless $M$ is translation-invariant in $\Pi$? I am honestly not even sure what a conservative vs. optimistic version would be. | |
| May 18, 2023 at 13:22 | comment | added | Willie Wong | By tangential intersection, do you just mean that $T_p\Pi \subseteq T_p M$? What are the sorts of results you are hoping for? Also, are you still fixing $k = 1$? | |
| May 17, 2023 at 20:12 | history | asked | Leo Moos | CC BY-SA 4.0 |