Timeline for Cross ratio in hyperbolic geometry
Current License: CC BY-SA 4.0
17 events
when toggle format | what | by | license | comment | |
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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
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Dec 6, 2020 at 20:39 | history | edited | Narasimham | CC BY-SA 4.0 |
error in picture corrected
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Dec 6, 2020 at 15:51 | history | edited | Narasimham | CC BY-SA 4.0 |
added 9 characters in body
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Dec 6, 2020 at 15:43 | history | edited | Narasimham | CC BY-SA 4.0 |
explained what I meant.
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Dec 6, 2020 at 14:11 | history | edited | Narasimham | CC BY-SA 4.0 |
added 1 character in body
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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
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Dec 6, 2020 at 13:51 | history | edited | Narasimham | CC BY-SA 4.0 |
added 77 characters in body; edited tags
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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
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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 |