Timeline for Triangulations of convex surfaces
Current License: CC BY-SA 4.0
8 events
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May 13, 2018 at 14:47 | comment | added | Manfred Weis | A promising candidate condition would be that the $T$ coincide with points, in which both principal curvatures attain a local maximum. Those points would be the natural smooth generalization of the corners of convex polyhedra. Further candidate points would be those where either both principal curvature attain local extrema or, maybe also other points on ridges | |
May 13, 2018 at 10:07 | answer | added | Dr. Richard Klitzing | timeline score: -1 | |
May 12, 2018 at 17:36 | comment | added | Anton Petrunin | It is unknown even if $M$ is the surface of convex hull of vertexes of $T$. In other words you look at the PL metric with nonnegative curvature on the sphere and want find where it will folds once you apply Alexandrov's embedding theorem --- there is no way to see it before applying the theorem. | |
May 12, 2018 at 15:41 | history | edited | Mohammad Ghomi | CC BY-SA 4.0 |
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May 12, 2018 at 15:30 | history | edited | Mohammad Ghomi | CC BY-SA 4.0 |
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May 12, 2018 at 15:20 | history | edited | Mohammad Ghomi | CC BY-SA 4.0 |
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May 12, 2018 at 14:55 | history | edited | Mohammad Ghomi | CC BY-SA 4.0 |
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May 12, 2018 at 14:50 | history | asked | Mohammad Ghomi | CC BY-SA 4.0 |