Timeline for Umbilic points of minimal hypersurfaces and distributional Simons inequality
Current License: CC BY-SA 4.0
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| Nov 29, 2020 at 18:13 | comment | added | Otis Chodosh | You can cross an example with $\mathbb{R}$ to see that the vanishing of the second fundamental form can occur on along a line. One way to interpret their argument is to consider $\sqrt{|A|^2 + \epsilon^2}$ in place of $|A|$ and think about the limit as $\epsilon\to 0$. You can see this argument worked out in J. Simons paper Minimal Varieties... Lemma 6.1.7. There might be some discussion of this in Colding--Minicozzi's book but I dont have it in front of me. | |
| Nov 29, 2020 at 17:38 | history | asked | Quarto Bendir | CC BY-SA 4.0 |