Timeline for Upper bound on volume growth of area minimizers
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 25, 2022 at 21:03 | vote | accept | hthi | ||
| Nov 21, 2022 at 21:56 | comment | added | Otis Chodosh | In codimension one you can see this question for some positive and negative results: mathoverflow.net/questions/396026/… | |
| Nov 21, 2022 at 14:09 | answer | added | Robert Bryant | timeline score: 4 | |
| Nov 21, 2022 at 13:43 | comment | added | hthi | Thank you very much for the answer! | |
| Nov 21, 2022 at 13:36 | comment | added | Robert Bryant | If you look at the complex curves $w=z^k$ in $\mathbb{C}^2\simeq\mathbb{R}^4$, which are calibrated and therefore area-minimizing, you'll find that the area enclosed in a fixed ball about $0$ goes to infinity as $k$ goes to infinity. Doesn't this imply that there can't be an $f$ such as you describe when $(k,n)=(2,4)$? | |
| Nov 18, 2022 at 12:35 | history | edited | hthi | CC BY-SA 4.0 |
added 180 characters in body
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| Nov 17, 2022 at 18:29 | history | asked | hthi | CC BY-SA 4.0 |