Timeline for Hausdorff measure and the volume form
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Jan 8, 2021 at 18:14 | comment | added | LSpice | The referenced MSE question (to which the OP gave an answer four days later, without mentioning that it had been answered here). | |
| Jan 8, 2021 at 18:12 | history | edited | LSpice | CC BY-SA 4.0 |
Deleted "Thank you" while it's on the front page
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| Jan 8, 2021 at 17:50 | history | edited | Martin Sleziak |
top-level tag; https://chat.stackexchange.com/transcript/10243/2021/1/8
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| Jan 7, 2021 at 21:29 | history | edited | Martin Sleziak |
edited tags
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| S Jan 7, 2021 at 21:11 | history | edited | Glorfindel | CC BY-SA 4.0 |
deleted 7 characters in body
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| Jan 7, 2021 at 19:56 | review | Suggested edits | |||
| S Jan 7, 2021 at 21:11 | |||||
| Mar 24, 2018 at 17:20 | comment | added | Piotr Hajlasz | This is one of the folklore results that is well known and hard to find. It follows from Federer's area formula, but Federer's theorem is a way to difficult for this fact. The right proof has been sketched below by Anton Petrunin. Unfortunately it is not easy to find this argument in the literature. | |
| Feb 8, 2012 at 23:25 | vote | accept | Appliqué | ||
| Feb 8, 2012 at 21:32 | comment | added | Mohan Ramachandran | You have to use the area formula in Federer. | |
| Feb 8, 2012 at 21:29 | answer | added | Anton Petrunin | timeline score: 20 | |
| Feb 8, 2012 at 20:44 | comment | added | Appliqué | Yes, in the case of $n=3$, $k=2$ it is the theorem about equality of the surface integrals of first and second kinds and there is no problem. In the case of arbitrary $n$ and $k$ I can manipulate with the integral on the left and I can receive some different representations of this integral (using local coordinates), but I don't know how to reduce the integral on the right to some suitable form. | |
| Feb 8, 2012 at 20:26 | comment | added | Deane Yang | It's not a silly question, but have you tried to work it out yourself for a smooth manifold using just the definitions and maybe the implicit function theorem? | |
| Feb 8, 2012 at 20:19 | history | asked | Appliqué | CC BY-SA 3.0 |