Timeline for Bernstein type theorems for CMC hypersurfaces in $\mathbb{R}^{n+1}$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2018 at 12:09 | vote | accept | Onil90 | ||
| Nov 19, 2018 at 11:59 | comment | added | Ivan Izmestiev | By Chern'65 and Flanders' 66, if the absolute value of mean curvature of a graph is at least $H$, then the domain of the graph is contained in a ball of radius $1/H$. This implies that the only CMC graphs over $\mathbb{R}^n$ are minimal. | |
| Nov 19, 2018 at 11:54 | comment | added | Onil90 | Thanks a lot for the answer! I forgot to say that I am mostly interested in the "non-minimal" case, i.e. when $H \ne 0$. What is it known in that case for dimension $n \ge 9$? | |
| Nov 19, 2018 at 11:48 | history | answered | Ivan Izmestiev | CC BY-SA 4.0 |