Question

Finding the inverse of $\phi_{\lambda}^2$ where $\phi_{\lambda}$ is the Mobius transform on $\mathbb{D}$

score 58 · Answer 1 · 2026-03-23 00:48:39

58

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Finding the inverse of $\phi_{\lambda}^2$ where $\phi_{\lambda}$ is the Mobius transform on $\mathbb{D}$

Published on 23 Mar 2026 - 0:48

score 86 · Answer 2 · 2026-03-23 08:26:29

86

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Are $\Bbb R^2\backslash\{(x,y) : x\le 0,y=0\}$ and the unit disc homeomorphic? Difference between conformal map an homeomorphism.

Published on 23 Mar 2026 - 8:26

score 758 · Answer 3 · 2026-03-21 23:44:57

758

Views

Conformal mapping of a domain to $f(z)=z^3$

Published on 21 Mar 2026 - 23:44

score 943 · Answer 4 · 2026-03-23 11:47:09

943

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Mobius transform |z|<1 to the right half plane

Published on 23 Mar 2026 - 11:47

score 1.5k · Answer 5 · 2026-03-23 09:40:33

1.5k

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Conformal automorphism of unit disk that interchanges two given points

Published on 23 Mar 2026 - 9:40

score 94 · Answer 6 · 2026-03-23 05:38:53

94

Views

Mobius Geometry identity

Published on 23 Mar 2026 - 5:38

score 92 · Answer 7 · 2026-03-23 11:08:47

92

Views

A homeomorphism $T$ from extended complex plane to itself preserving cross ratio is a Mobius map.

Published on 23 Mar 2026 - 11:08

score 58 · Answer 8 · 2026-03-23 03:10:02

58

Views

Mobius transformation produces either a circle or a line...

Published on 23 Mar 2026 - 3:10

score 54 · Answer 9 · 2026-03-23 03:40:37

54

Views

Does a Möbius transformation having fixed points not on the object return the entire complex plane as image?

Published on 23 Mar 2026 - 3:40

score 109 · Answer 10 · 2026-03-23 09:42:49

109

Views

Describing curves of complex valued functions

Published on 23 Mar 2026 - 9:42

score 164 · Answer 11 · 2026-03-23 09:47:54

164

Views

Find the map from $\{ z: - \pi/2 < Im(z)<\pi/2\}$ to the vertical strip $\{ z: 0 < Re(z)<\log 2\}$.

Published on 23 Mar 2026 - 9:47

score 531 · Answer 12 · 2026-03-22 23:58:08

531

Views

Differential Action of Möbius Transformations

Published on 22 Mar 2026 - 23:58

score 54 · Answer 13 · 2026-03-23 12:37:29

54

Views

Is this a simpler proof that all transformations mapping D(1:0) onto D(1;0) are of the form $\;\;e^{i\lambda}\frac{z-\alpha}{\bar{\alpha}z-1}$

Published on 23 Mar 2026 - 12:37

score 51 · Answer 14 · 2026-03-23 05:39:06

51

Views

Möbius tranformations such that $T(\Gamma)=\Gamma$

Published on 23 Mar 2026 - 5:39

score 121 · Answer 15 · 2026-03-23 12:52:37

121

Views

Variant of Schwarz-Pick for Different Bound/Disk

Published on 23 Mar 2026 - 12:52

List Question

Finding the inverse of $\phi_{\lambda}^2$ where $\phi_{\lambda}$ is the Mobius transform on $\mathbb{D}$

Are $\Bbb R^2\backslash\{(x,y) : x\le 0,y=0\}$ and the unit disc homeomorphic? Difference between conformal map an homeomorphism.

Conformal mapping of a domain to $f(z)=z^3$

Mobius transform |z|<1 to the right half plane

Conformal automorphism of unit disk that interchanges two given points

Mobius Geometry identity

A homeomorphism $T$ from extended complex plane to itself preserving cross ratio is a Mobius map.

Mobius transformation produces either a circle or a line...

Does a Möbius transformation having fixed points not on the object return the entire complex plane as image?

Describing curves of complex valued functions

Find the map from $\{ z: - \pi/2 < Im(z)<\pi/2\}$ to the vertical strip $\{ z: 0 < Re(z)<\log 2\}$.

Differential Action of Möbius Transformations

Is this a simpler proof that all transformations mapping D(1:0) onto D(1;0) are of the form $\;\;e^{i\lambda}\frac{z-\alpha}{\bar{\alpha}z-1}$

Möbius tranformations such that $T(\Gamma)=\Gamma$

Variant of Schwarz-Pick for Different Bound/Disk

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