Question

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

score 86 · Answer 1 · 2026-03-16 18:44:11

86

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

Published on 16 Mar 2026 - 18:44

score 74 · Answer 2 · 2026-03-25 00:59:31

74

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

Published on 25 Mar 2026 - 0:59

score 39 · Answer 3 · 2026-03-17 09:05:58

39

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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 17 Mar 2026 - 9:05

score 395 · Answer 4 · 2026-03-16 20:20:16

395

Views

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

Published on 16 Mar 2026 - 20:20

score 83 · Answer 5 · 2026-03-16 23:12:27

83

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

Published on 16 Mar 2026 - 23:12

score 101 · Answer 6 · 2026-03-17 07:09:43

101

Views

Conformal property of transformation

Published on 17 Mar 2026 - 7:09

score 86 · Answer 7 · 2026-03-16 22:32:12

86

Views

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

Published on 16 Mar 2026 - 22:32

score 96 · Answer 8 · 2026-03-16 21:50:30

96

Views

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

Published on 16 Mar 2026 - 21:50

score 43 · Answer 9 · 2026-03-15 22:38:34

43

Views

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

Published on 15 Mar 2026 - 22:38

score 72 · Answer 10 · 2026-03-17 03:59:54

72

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

Published on 17 Mar 2026 - 3:59

score 238 · Answer 11 · 2026-03-17 06:56:20

238

Views

Mobius transformations between two sets

Published on 17 Mar 2026 - 6:56

score 635 · Answer 12 · 2026-03-24 23:45:51

635

Views

Stereographic projection combined with rotation is a Möbius transformation

Published on 24 Mar 2026 - 23:45

score 185 · Answer 13 · 2026-03-17 09:12:42

185

Views

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

Published on 17 Mar 2026 - 9:12

score 1.7k · Answer 14 · 2026-03-16 18:24:47

1.7k

Views

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

Published on 16 Mar 2026 - 18:24

score 165 · Answer 15 · 2026-03-16 16:10:43

165

Views

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

Published on 16 Mar 2026 - 16:10

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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