Timeline for Why is there a unique hyperbolic simplex of largest area?
Current License: CC BY-SA 3.0
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| Dec 30, 2011 at 17:47 | comment | added | Ian Agol | I think Schlafli's formula for 4-D hyperbolic simplices actually gives an affine function of the sum of the dihedral angles, since the volume of the codim 2 faces is always $\pi$. But I'm not sure how one uses this to deduce the regular ideal 4-simplex is maximal volume, since as you say, the moduli space of dihedral angles is complicated. | |
| Dec 29, 2011 at 20:57 | comment | added | John Pardon | Oops, looks like I'm too focused on $n=3$ and have forgotten that things might be different in higher dimensions . . . I've edited the question which now hopefully gives a more accurate picture. | |
| Dec 29, 2011 at 19:23 | history | answered | Igor Rivin | CC BY-SA 3.0 |