Timeline for sequence of graphs converge in the sense of varifold to multiplicity 2 plane
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 20, 2016 at 18:38 | comment | added | Otis Chodosh | @Thompson, The measures might converge but the associated varifolds do not converge as varifolds | |
| Oct 20, 2016 at 18:17 | comment | added | Thompson | But the $\mathcal{H}^2$ measure of the graph is getting close to $2|B_1(0)|$. And more and more of it could have normal vector far from the normal to $P$. For example, isn't it fairly clear you can converge to $\sqrt{2}[P]$ by zig-zagging? | |
| Jun 14, 2016 at 18:33 | comment | added | Sam | Thanks. Seems can use this argument to rule out any multiplicity 2 plane not perpendicular to P, for the perpendicular ones we need a gradient bound for the graphs to rule out that. | |
| Jun 14, 2016 at 12:46 | history | answered | Otis Chodosh | CC BY-SA 3.0 |