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Timeline for Cross ratio in hyperbolic geometry

Current License: CC BY-SA 4.0

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Dec 7, 2020 at 9:09 vote accept Narasimham
Dec 7, 2020 at 2:10 answer added Anders Kaseorg timeline score: 3
Dec 6, 2020 at 21:11 history edited Narasimham CC BY-SA 4.0
error in picture corrected
Dec 6, 2020 at 20:39 history edited Narasimham CC BY-SA 4.0
error in picture corrected
Dec 6, 2020 at 15:51 history edited Narasimham CC BY-SA 4.0
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Dec 6, 2020 at 15:43 history edited Narasimham CC BY-SA 4.0
explained what I meant.
Dec 6, 2020 at 14:11 history edited Narasimham CC BY-SA 4.0
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Dec 6, 2020 at 14:08 comment added Narasimham Thank you. I edited it somewhat leaving out the inversions. My question does not involve hyperbolic distances but angles only at the concurrent point. Thanks also for the reference. Also, btw, can one, by studying this article start to gain an understanding of Thruston geometrization Conjecture?
Dec 6, 2020 at 14:05 history edited Narasimham CC BY-SA 4.0
explanatory
Dec 6, 2020 at 13:51 history edited Narasimham CC BY-SA 4.0
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Dec 6, 2020 at 11:27 review Close votes
Dec 12, 2020 at 3:04
Dec 6, 2020 at 11:05 answer added Sam Nead timeline score: 0
Dec 6, 2020 at 9:53 comment added HJRW I'm also confused by your question. The definition of the cross-ratio in the disc model is the same as the definition in ordinary complex geometry. What do you mean by an "inversion"? There are no inversions in the isometry group of the disc. On the other hand, if you want to know how the cross-ratio relates to hyperbolic distances, you can look at formula (3) in these notes on a course by Dylan Thurston: math.berkeley.edu/~qchu/Notes/274/Lecture11.pdf .(Hat tip to Matt Stover, from whom I learned this.)
Dec 6, 2020 at 9:50 comment added HJRW I don't understand your picture. Does it omit the boundary of the disc model? Your "hyperbolic lines" appear to be nearly full circles, whereas they should intersect the boundary at right angles.
Dec 6, 2020 at 9:36 history edited YCor CC BY-SA 4.0
edited tags
Dec 6, 2020 at 9:09 history edited Narasimham CC BY-SA 4.0
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Dec 6, 2020 at 9:03 history asked Narasimham CC BY-SA 4.0