Timeline for inradius of convex surface with curvature upper bound
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 2, 2017 at 16:08 | comment | added | Anton Petrunin | @FengWang Yes, 1/2 should be optional for $H$, but I do not have a proof. For Gauss curvature you can get arbitrary close to 0. | |
| Mar 2, 2017 at 3:50 | comment | added | Feng Wang | Oh, 1/2 is the optimal | |
| Mar 2, 2017 at 3:25 | comment | added | Feng Wang | Thanks! So the inradius can approach zero with Gaussian curvature less than 1. Since the inradius is at least 1/2 with mean curvature less than 1, could we expect an optimal lower bound? | |
| Mar 2, 2017 at 1:24 | history | answered | Anton Petrunin | CC BY-SA 3.0 |