Question

Composition of Möbius Transformation to Identity

score 1.3k · Answer 1 · 2017-11-06 18:13:24

1.3k

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Composition of Möbius Transformation to Identity

Published on 06 Nov 2017 - 18:13

score 264 · Answer 2 · 2026-03-26 08:14:26

264

Views

Do Mobius transformations preserve Hausdorff dimension?

Published on 26 Mar 2026 - 8:14

score 92 · Answer 3 · 2017-11-12 21:36:26

92

Views

Find an Linear Fractional Transforms that maps the upper half of a circle centered at (0,0) with radius 1 to the first quadrant.

Published on 12 Nov 2017 - 21:36

score 357 · Answer 4 · 2017-11-13 06:07:25

357

Views

Show that the image of the extended real line under any Möbius transformation is either a circle or a straight line.

Published on 13 Nov 2017 - 6:07

score 40 · Answer 5 · 2017-11-13 07:52:53

40

Views

How do $w_2,w_3,w_4$ determine a circle $\Gamma'$?

Published on 13 Nov 2017 - 7:52

score 201 · Answer 6 · 2026-03-25 20:14:18

201

Views

Meromorphic function that preserves the upper half-plane and the lower half plane must have only simple poles, all of them in $\mathbb{R}$

Published on 25 Mar 2026 - 20:14

score 1.3k · Answer 7 · 2017-11-20 19:18:05

1.3k

Views

How to show the action of $SL_2(\mathbb R)$ on the complex upper half plane is transitive?

Published on 20 Nov 2017 - 19:18

score 746 · Answer 8 · 2017-11-22 20:13:23

746

Views

Can a Möbius transformation represent any translation, rotation, inversion and homothety?

Published on 22 Nov 2017 - 20:13

score 459 · Answer 9 · 2017-11-30 20:34:02

459

Views

Finding a Mobius Transformation using two points

Published on 30 Nov 2017 - 20:34

score 48 · Answer 10 · 2017-12-02 22:07:14

48

Views

Can we use Mobius transformation to convert $\mathbb{R}$ to $(-1,1)$

Published on 02 Dec 2017 - 22:07

score 81 · Answer 11 · 2017-12-08 20:25:46

81

Views

Conformal Map from Substrip $\{|z|<1, 0<\mathrm{Im}(z)<1/2\}$ of a Circle to Upper Half Plane

Published on 08 Dec 2017 - 20:25

score 631 · Answer 12 · 2017-12-11 04:16:31

631

Views

Automorphism of unit disc maps unit circle onto itself

Published on 11 Dec 2017 - 4:16

score 63 · Answer 13 · 2017-12-11 16:24:57

63

Views

Showing a map is well defined (Mobius map to $D_{2n}$ in group theory)

Published on 11 Dec 2017 - 16:24

score 148 · Answer 14 · 2026-03-27 09:37:48

148

Views

Difference between Mobius transformation and invertible function $f:\mathbb{C_{\infty}}\mapsto \mathbb{C_{\infty}}$

Published on 27 Mar 2026 - 9:37

score 156 · Answer 15 · 2017-12-21 01:27:13

156

Views

More than one Möbius transformation connecting two sets of 3 points on Riemann sphere?

Published on 21 Dec 2017 - 1:27

List Question

Composition of Möbius Transformation to Identity

Do Mobius transformations preserve Hausdorff dimension?

Find an Linear Fractional Transforms that maps the upper half of a circle centered at (0,0) with radius 1 to the first quadrant.

Show that the image of the extended real line under any Möbius transformation is either a circle or a straight line.

How do $w_2,w_3,w_4$ determine a circle $\Gamma'$?

Meromorphic function that preserves the upper half-plane and the lower half plane must have only simple poles, all of them in $\mathbb{R}$

How to show the action of $SL_2(\mathbb R)$ on the complex upper half plane is transitive?

Can a Möbius transformation represent any translation, rotation, inversion and homothety?

Finding a Mobius Transformation using two points

Can we use Mobius transformation to convert $\mathbb{R}$ to $(-1,1)$

Conformal Map from Substrip $\{|z|<1, 0<\mathrm{Im}(z)<1/2\}$ of a Circle to Upper Half Plane

Automorphism of unit disc maps unit circle onto itself

Showing a map is well defined (Mobius map to $D_{2n}$ in group theory)

Difference between Mobius transformation and invertible function $f:\mathbb{C_{\infty}}\mapsto \mathbb{C_{\infty}}$

More than one Möbius transformation connecting two sets of 3 points on Riemann sphere?

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