Timeline for answer to Tweetable way to see that Willmore energy is Möbius invariant? by Sebastian
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jun 14, 2012 at 7:49 | comment | added | Sebastian | Sorry, I was unclear: I should have written mean curvature sphere, considered as a map from $M$ to the space of 2-spheres. | |
| Jun 14, 2012 at 7:47 | history | edited | Sebastian | CC BY-SA 3.0 |
added 15 characters in body
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| Jun 14, 2012 at 7:46 | comment | added | Sebastian | A conformal model of the 3-sphere is given by the space of null-lines in the Minkowski 5 space $L^5.$ Consider $Q\subset L^5$ the set of unit length vectors. This can be identifies with the space of (oriented, round) two spheres in $S^3$ as for $v\in Q,$ $Pv^\perp\subset S^3$ is sphere. Then equip $Q$ with its induced pseudo-Riemannian structure from $L^5.$ | |
| Jun 14, 2012 at 7:21 | comment | added | Ian Agol | what do you mean by "the energy of the sphere in the space of spheres"? | |
| Jun 14, 2012 at 6:51 | history | answered | Sebastian | CC BY-SA 3.0 |