Timeline for Möbius transformation by 3 points in the Minkowski model
Current License: CC BY-SA 3.0
9 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| Feb 4, 2014 at 17:03 | comment | added | Sasha Anan'in | The Poincaré and Beltrami-Klein models of the hyperbolic space ${\mathbb H}_{\mathbb R}^n$ (we discussed that, for $n=3$, the conformal and holomorphic structures on the absolute ${\mathbb S}^2$ are the same). The formula (I dislike as depending on coodinates) $z\mapsto\frac{2z}{|z|^2+1}$ establish an isometry (up to a scalar factor) between them. Another coincidence between models is ${\mathbb H}_{\mathbb R}^4={\mathbb H}_{\mathbb H}^1$. Hope arxiv.org/abs/math/0702714 arxiv.org/abs/0907.4469 arxiv.org/abs/0907.4469 arxiv.org/abs/1107.0346 may be helpful. | |
| Feb 3, 2014 at 15:26 | answer | added | Richard Montgomery | timeline score: 1 | |
| Jan 30, 2014 at 22:12 | comment | added | MvG | Although this question has been answered in terms of how to take the $\mathbb{CP}^1$ description and convert it to this world, I'm still interested in solutions which tackle the problem from a different angle, since there might be room for generalizations, e.g. defining a transformation in terms of circles not points, or generalizing to higher dimensions. | |
| Jan 30, 2014 at 22:03 | vote | accept | MvG | ||
| Jan 30, 2014 at 18:23 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
removed deprecated tag 'geometry'; replaced tag 'ag.algebraic-geometry' with tag 'mg.metric-geometry' (which I think is more appropriate; please feel free to change this); minor latex editing and correction of typos
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| Jan 30, 2014 at 18:22 | answer | added | Sasha Anan'in | timeline score: 2 | |
| Jan 30, 2014 at 16:43 | history | edited | MvG | CC BY-SA 3.0 |
Point out that linearity of Lorenz conditions is a problem
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| Jan 30, 2014 at 15:37 | history | asked | MvG | CC BY-SA 3.0 |