Question

Mobius transformation maps $\Bbb R_∞$ onto itself iff we can choose its coefficients to be real

score 87 · Answer 1 · 2026-03-25 10:57:10

87

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Mobius transformation maps $\Bbb R_∞$ onto itself iff we can choose its coefficients to be real

Published on 25 Mar 2026 - 10:57

score 81 · Answer 2 · 2026-05-01 00:04:24

81

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Fuchsian groups in $\text{SL}(2,\mathbb{R})$ and commensurability in $\text{GL}(2,\mathbb{R})$

Published on 01 May 2026 - 0:04

score 40 · Answer 3 · 2026-03-25 10:56:52

40

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If $w:\mathbb{D}\rightarrow\mathbb{D}$ is a Möbius transform and $||f||_{\infty} \leq 1$, why is $||w(f(z))||_{\infty} \leq 1$?

Published on 25 Mar 2026 - 10:56

score 396 · Answer 4 · 2026-03-25 10:56:03

396

Views

Finding the Möbius transformation from the unit disk to the half plane $\{Re(z)\geq3\}$

Published on 25 Mar 2026 - 10:56

score 84 · Answer 5 · 2026-03-25 10:52:50

84

Views

Conformal Mapping Question about Mobius Maps, mapping 1 region to another

Published on 25 Mar 2026 - 10:52

score 102 · Answer 6 · 2026-03-25 10:55:21

102

Views

Conformal property of transformation

Published on 25 Mar 2026 - 10:55

score 87 · Answer 7 · 2026-03-25 10:57:22

87

Views

Vertical Line through z=0 in complex plane mapped with f(z)=(1+z)/(1-z)

Published on 25 Mar 2026 - 10:57

score 97 · Answer 8 · 2026-03-25 10:52:16

97

Views

Mobius Transformation viewed as a mapping on $\bar {\mathbb C}$

Published on 25 Mar 2026 - 10:52

score 44 · Answer 9 · 2026-03-25 10:57:10

44

Views

Determine $z\in\mathbb{C}$, $r>0$ so that $0,1,2+i\in \partial B_r(z)$

Published on 25 Mar 2026 - 10:57

score 73 · Answer 10 · 2026-03-25 10:52:29

73

Views

Möbius transformations mapping non-unit circle to non-unit circle

Published on 25 Mar 2026 - 10:52

score 239 · Answer 11 · 2026-03-25 12:12:15

239

Views

Mobius transformations between two sets

Published on 25 Mar 2026 - 12:12

score 638 · Answer 12 · 2026-05-10 20:39:12

638

Views

Stereographic projection combined with rotation is a Möbius transformation

Published on 10 May 2026 - 20:39

score 186 · Answer 13 · 2026-03-25 12:28:21

186

Views

Möbius transformation: area outside of two circles mapped onto the interior of a circular ring

Published on 25 Mar 2026 - 12:28

score 1.7k · Answer 14 · 2026-03-25 10:53:45

1.7k

Views

Find Möbius transformation for half-plane to unit disk $|w|<1$?

Published on 25 Mar 2026 - 10:53

score 166 · Answer 15 · 2026-03-25 12:28:18

166

Views

Prove transformation $z \mapsto \frac{az+b}{cz+d}, z = x+ iy, ad-bc = 1$ is isometry of Hyperbolic plane.

Published on 25 Mar 2026 - 12:28

List Question

Mobius transformation maps $\Bbb R_∞$ onto itself iff we can choose its coefficients to be real

Fuchsian groups in $\text{SL}(2,\mathbb{R})$ and commensurability in $\text{GL}(2,\mathbb{R})$

If $w:\mathbb{D}\rightarrow\mathbb{D}$ is a Möbius transform and $||f||_{\infty} \leq 1$, why is $||w(f(z))||_{\infty} \leq 1$?

Finding the Möbius transformation from the unit disk to the half plane $\{Re(z)\geq3\}$

Conformal Mapping Question about Mobius Maps, mapping 1 region to another

Conformal property of transformation

Vertical Line through z=0 in complex plane mapped with f(z)=(1+z)/(1-z)

Mobius Transformation viewed as a mapping on $\bar {\mathbb C}$

Determine $z\in\mathbb{C}$, $r>0$ so that $0,1,2+i\in \partial B_r(z)$

Möbius transformations mapping non-unit circle to non-unit circle

Mobius transformations between two sets

Stereographic projection combined with rotation is a Möbius transformation

Möbius transformation: area outside of two circles mapped onto the interior of a circular ring

Find Möbius transformation for half-plane to unit disk $|w|<1$?

Prove transformation $z \mapsto \frac{az+b}{cz+d}, z = x+ iy, ad-bc = 1$ is isometry of Hyperbolic plane.

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