Timeline for Half-space comparison of perimeter
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 23, 2011 at 9:42 | vote | accept | Martijn | ||
| Feb 23, 2011 at 9:42 | history | edited | Martijn | CC BY-SA 2.5 |
added 167 characters in body
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| Feb 23, 2011 at 0:05 | answer | added | Alexander Volkmann | timeline score: 1 | |
| Feb 21, 2011 at 21:26 | comment | added | Anton Petrunin | I agree with Douglas, you also can use the fact that projection to the hyperspace is 1-Lipshitz. Thus if you project the part outside of H to ∂H, the perimeter is decreasing. Clearly the perimeter of the image of F is at lest the perimeter of F∩H. | |
| Feb 21, 2011 at 15:26 | comment | added | Douglas Zare | I don't think Jensen's inequality is needed. Use Stokes' theorem to say that the flux of a constant vector field perpendicular to $H$ through $F \cap \delta H$ is the same as the flux through $\delta F \backslash H$. So, the area of $F \cap \delta H$ is smaller than the area of $\delta F \backslash H$. | |
| Feb 21, 2011 at 13:51 | history | asked | Martijn | CC BY-SA 2.5 |