Timeline for Zone of negative curvature on surfaces embedded in $\mathbb{R}^3$
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Jul 10, 2017 at 19:08 | history | edited | Benoît Kloeckner | CC BY-SA 3.0 |
added 500 characters in body
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Jul 10, 2017 at 19:03 | comment | added | Benoît Kloeckner | @MikhailKatz: you might be right, but it mostly comes down on what the question precisely is. Also, in the process some blue region disappears at some point (in the symmetric position, there are three blue regions). | |
Jul 10, 2017 at 15:37 | comment | added | Selim G | Hi! It is not obvious to me that I can deform the original embedding into yours. Should it be? Also, I have the impression that at some point (when you do the turn by one third and the inverse map) you are moving from a continuous motion to precomposing the embedding by a diffeomorphism of $\Sigma$ which is not isotopic to the identity, right? | |
Jul 10, 2017 at 15:29 | comment | added | Mikhail Katz | Benoit, if I understood your answer correctly, you are moving the blue region elsewhere rather than getting rid of it! | |
Jul 10, 2017 at 15:27 | history | answered | Benoît Kloeckner | CC BY-SA 3.0 |