Timeline for Convex surfaces with minimal total curvature in Cartan-Hadamard 3-space
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 11, 2023 at 12:34 | vote | accept | Mohammad Ghomi | ||
| Jun 30, 2022 at 19:36 | comment | added | Anton Petrunin | In fact, one does not need Peterson–Codazzi, it is sufficient to see that curvature transformation $R(X,Y)$ vanish for tangent vectors $X$ and $Y$ to the surface. It implies that there is a parallel frame on the surface that gives the needed embedding into Euclidean space. This way you get the result in all dimesnions. | |
| Jun 30, 2022 at 14:36 | history | edited | Anton Petrunin | CC BY-SA 4.0 |
added 51 characters in body
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| Jun 30, 2022 at 13:49 | history | answered | Anton Petrunin | CC BY-SA 4.0 |