Timeline for Does the mean curvature flow naturally come with less applications than intrinsic curvature flows?
Current License: CC BY-SA 4.0
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| Nov 28, 2019 at 12:49 | comment | added | RBega2 | If we knew more about MCF of two spheres (I think at this point we just need Ilmanen's multiplicity one conjecture) one could use it to show the space of embedded two spheres in $\mathbb{R}^3$ is contractible. This would give a new proof of Smale's conjecture that the group of diffeomorphisms on S^3 is homotopty equivalent to $O(3)$. | |
| Nov 28, 2019 at 2:45 | comment | added | Matheus Andrade | I see, thanks for the answer! I'll still wait for other people's inputs before accepting yours though. Do you know of any topological results we can obtain using mean curvature flow? | |
| Nov 27, 2019 at 3:16 | history | answered | RBega2 | CC BY-SA 4.0 |