Timeline for Holomorphic Gauss normal map
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 10, 2023 at 12:28 | vote | accept | Ali Taghavi | ||
| Sep 3, 2023 at 1:24 | history | became hot network question | |||
| Sep 2, 2023 at 19:42 | answer | added | Alexandre Eremenko | timeline score: 6 | |
| Sep 2, 2023 at 19:08 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
deleted 1 character in body
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| Sep 2, 2023 at 18:43 | answer | added | Vik78 | timeline score: 1 | |
| Sep 2, 2023 at 18:22 | comment | added | Ali Taghavi | @Vik78 yes that is very interesting question. BTW in case of identically zero curvature(cylinder)the Gauss map may fail to be holomorphic | |
| Sep 2, 2023 at 18:11 | comment | added | Vik78 | A necessary condition is existence of a metric whose curvature has zero dimensional vanishing locus. Whether such a metric exists is an interesting question in itself | |
| Sep 2, 2023 at 17:45 | comment | added | Ali Taghavi | @Vik78 thank you. so the first condition we can pose is thst the curvature never vanish example sphere. | |
| Sep 2, 2023 at 17:40 | comment | added | Vik78 | Critical points of the Gauss map are where the Gaussian curvature of the surface vanishes. I think typically the vanishing locus will be a one-(real)-dimensional subset of the surface. An analytic map has isolated critical points so I think this is unlikely | |
| Sep 2, 2023 at 17:23 | history | asked | Ali Taghavi | CC BY-SA 4.0 |