Question

Finding explicit forms of interations of Mobius transformations

score 32 · Answer 1 · 2017-08-30 04:19:18

32

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Finding explicit forms of interations of Mobius transformations

Published on 30 Aug 2017 - 4:19

score 69 · Answer 2 · 2017-09-04 13:55:16

69

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Iteration prime times of a rational map is Mobius function. Then the rational function form a group of order $1,p$ or $\infty$

Published on 04 Sep 2017 - 13:55

score 228 · Answer 3 · 2017-09-06 04:28:17

228

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Conjugates of $\alpha z -\frac{1}{z}$ and $\beta z -\frac{1}{z}$

Published on 06 Sep 2017 - 4:28

score 1.3k · Answer 4 · 2017-09-10 06:28:46

1.3k

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Property of Mobius transformations which send $\mathbb{R}$ in $\mathbb{R}$ and that $ad-bc=1$

Published on 10 Sep 2017 - 6:28

score 466 · Answer 5 · 2017-09-12 02:33:51

466

Views

Showing that rotations of the Riemann Sphere are an isometry

Published on 12 Sep 2017 - 2:33

score 1k · Answer 6 · 2017-09-13 04:43:49

1k

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Showing all rotations of the Riemann sphere are of the form $\frac{az-\bar{c}}{cz+\bar{a}}$

Published on 13 Sep 2017 - 4:43

score 1.2k · Answer 7 · 2017-09-18 23:29:53

1.2k

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Automorphisms of $\mathbb P^1_{\mathbb k}$ over a algebraically closed field $\mathbb k$.

Published on 18 Sep 2017 - 23:29

score 407 · Answer 8 · 2017-09-28 21:48:42

407

Views

Existence of linear fractional transformation that map a circle to itself and exchanges two other points

Published on 28 Sep 2017 - 21:48

score 252 · Answer 9 · 2017-10-04 20:14:24

252

Views

Mobius transformation type and quotient field

Published on 04 Oct 2017 - 20:14

score 107 · Answer 10 · 2017-10-07 10:49:13

107

Views

Maps that go to Interior or exterior of an ellipse.

Published on 07 Oct 2017 - 10:49

score 68 · Answer 11 · 2017-10-17 19:50:39

68

Views

On explicit Mobius transformations

Published on 17 Oct 2017 - 19:50

score 121 · Answer 12 · 2017-10-23 21:28:18

121

Views

Show that $f(z)=\frac{2z+3}{z-4}$ maps the circle $|z-2i|=2$ to $|8z+(6+11i)|=11$

Published on 23 Oct 2017 - 21:28

score 458 · Answer 13 · 2017-10-26 11:06:50

458

Views

Möbius transformation that maps an arc to the positive real axis

Published on 26 Oct 2017 - 11:06

score 829 · Answer 14 · 2017-11-04 07:07:25

829

Views

Find the images of half plane X>0 and y<1 under the linear fractional transformation

Published on 04 Nov 2017 - 7:07

score 54 · Answer 15 · 2017-11-06 15:42:50

54

Views

Possibly wrong result about hyperbolic/parabolic moebius transformations

Published on 06 Nov 2017 - 15:42

List Question

Finding explicit forms of interations of Mobius transformations

Iteration prime times of a rational map is Mobius function. Then the rational function form a group of order $1,p$ or $\infty$

Conjugates of $\alpha z -\frac{1}{z}$ and $\beta z -\frac{1}{z}$

Property of Mobius transformations which send $\mathbb{R}$ in $\mathbb{R}$ and that $ad-bc=1$

Showing that rotations of the Riemann Sphere are an isometry

Showing all rotations of the Riemann sphere are of the form $\frac{az-\bar{c}}{cz+\bar{a}}$

Automorphisms of $\mathbb P^1_{\mathbb k}$ over a algebraically closed field $\mathbb k$.

Existence of linear fractional transformation that map a circle to itself and exchanges two other points

Mobius transformation type and quotient field

Maps that go to Interior or exterior of an ellipse.

On explicit Mobius transformations

Show that $f(z)=\frac{2z+3}{z-4}$ maps the circle $|z-2i|=2$ to $|8z+(6+11i)|=11$

Möbius transformation that maps an arc to the positive real axis

Find the images of half plane X>0 and y<1 under the linear fractional transformation

Possibly wrong result about hyperbolic/parabolic moebius transformations

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