Timeline for Is there an area-preserving concentric diffeomorphism of the ellipse?
Current License: CC BY-SA 4.0
9 events
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| Mar 16, 2021 at 12:48 | comment | added | LSpice |
MathJax note: if you define a new command using syntax like $\newcommand…$, then don't leave a blank line after it, or the blank space will appear in your post. I edited accordingly, and made a few other TeX changes. (For example, a word "Set" seemed to have crept inadvertently from the main text into math mode.)
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| Mar 16, 2021 at 12:46 | history | edited | LSpice | CC BY-SA 4.0 |
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| Mar 13, 2021 at 12:49 | answer | added | Robert Bryant | timeline score: 2 | |
| Mar 12, 2021 at 16:13 | comment | added | Asaf Shachar | Thanks, you are right; I forgot to exclude this possibility. If $h$ is constant, then it easily follows that $h=0$ or $h=\pi$ and $\psi(x)=x$, so I am essentially looking for solutions with non-constant $h$. | |
| Mar 12, 2021 at 16:12 | history | edited | Asaf Shachar | CC BY-SA 4.0 |
added 165 characters in body
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| Mar 12, 2021 at 12:21 | answer | added | bathalf15320 | timeline score: 2 | |
| Mar 11, 2021 at 19:12 | comment | added | Fedor Petrov | Say, $\psi(x)=x$ and $h(x)=\pi$ which corresponds to a central symmetry | |
| Mar 11, 2021 at 18:18 | comment | added | Asaf Shachar | For the case where the ellipse is the disk, one can use the flow of the vector field $H(r) \frac{\partial}{\partial \theta}$. | |
| Mar 11, 2021 at 18:16 | history | asked | Asaf Shachar | CC BY-SA 4.0 |