Timeline for What is the orbit of the standard conformal structure on $S^2$ under $\operatorname{SL}(3,\mathbb{R})$?
Current License: CC BY-SA 4.0
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| Nov 3, 2020 at 20:16 | comment | added | Malkoun | well, this kind of answers my question. By the way, I have an easier argument for why only rotations are conformal in this case. Roughly speaking, thinking of the Minkowski picture, you are splitting spacetime into space and time in a specific way, thus breaking the symmetry of the group of Moebius transformations, and not allowing for "boosts". I hope it is clear enough... | |
| Nov 3, 2020 at 19:51 | comment | added | LSpice | I thought your question was about the nature of the homogeneous space, not the identification of the orbit as a homogeneous space? (Of course, as you point out, the polar decomposition in a sense is a description of the homogeneous space.) | |
| Nov 3, 2020 at 5:46 | history | edited | Malkoun | CC BY-SA 4.0 |
minor LaTeX edits.
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| Nov 3, 2020 at 5:38 | history | answered | Malkoun | CC BY-SA 4.0 |