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Timeline for A problem on Gauss--Bonnet formula

Current License: CC BY-SA 4.0

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Jul 27, 2020 at 20:52 vote accept Anton Petrunin
Jun 22, 2020 at 20:18 history edited Anton Petrunin CC BY-SA 4.0
2nd curve
Jun 22, 2020 at 19:18 answer added Anton Petrunin timeline score: 1
Nov 16, 2018 at 17:40 answer added RBega2 timeline score: 2
Nov 15, 2018 at 19:55 history edited Anton Petrunin CC BY-SA 4.0
added 430 characters in body
Nov 14, 2018 at 23:25 answer added RaphaelB4 timeline score: 4
Nov 14, 2018 at 4:37 comment added Michael @AntonPetrunin, you are right, I missed the positive curvature condition.
Nov 13, 2018 at 23:10 comment added Michael I don't understand what would prevent these curves from being geodesics. Imagine a surface in $\mathbb{R}^3$ with $x,y$ on the plane where you drew $\gamma$ and $z=\text{smoothed squared distance on the plane from (x,y) to }\gamma$. Intuitively that would make $\gamma$ a geodesic. $(x,y)$ sufficiently far from $\gamma$ would produce $z$ that behaves nicely enough to compactify the surface to $\Sigma$.
Nov 13, 2018 at 19:01 history edited Anton Petrunin CC BY-SA 4.0
edited body
Nov 12, 2018 at 22:52 comment added Sylvain JULIEN The curves that are displayed have non trivial symmetry groups, hence my comment.
Nov 12, 2018 at 21:23 comment added Sylvain JULIEN As Ricci flow preserves the symmetry, can it be of any use in this problem ?
Nov 12, 2018 at 21:12 history asked Anton Petrunin CC BY-SA 4.0