Question

Show that $ad-bc \ne 0$ for a composition of two Mobius transformations.

score 868 · Answer 1 · 2026-03-25 06:03:57

868

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Show that $ad-bc \ne 0$ for a composition of two Mobius transformations.

Published on 25 Mar 2026 - 6:03

score 437 · Answer 2 · 2026-03-25 06:06:57

437

Views

Find a center and radius of circle that is an image of Mobius Transformation of real axis

Published on 25 Mar 2026 - 6:06

score 154 · Answer 3 · 2026-03-25 06:02:00

154

Views

Image of square under Mobius Transformation

Published on 25 Mar 2026 - 6:02

score 59 · Answer 4 · 2026-03-25 07:45:45

59

Views

Finding the norm of $w + \frac{1 - |w|^2}{|w - z|^2}(w - z)$, where $w$ and $z$ are in $\mathbb{R}^n$

Published on 25 Mar 2026 - 7:45

score 1.3k · Answer 5 · 2026-03-25 06:07:15

1.3k

Views

$\text{SL}_2(\mathbb Z)$ acts on upper plane $\mathbb H$. What kind of points have non-trivial stabilizer? And how many orbits are there?

Published on 25 Mar 2026 - 6:07

score 3.4k · Answer 6 · 2026-04-05 19:54:14

3.4k

Views

Möbius transformation mapping

Published on 05 Apr 2026 - 19:54

score 200 · Answer 7 · 2026-03-25 06:00:34

200

Views

Mobius transformation producing a curved triangle with 3 intersecting circles

Published on 25 Mar 2026 - 6:00

score 1k · Answer 8 · 2026-03-25 06:04:10

1k

Views

Finding bilinear transformation which maps $|z|=1$ on to $|w|=1$

Published on 25 Mar 2026 - 6:04

score 128 · Answer 9 · 2026-03-25 07:49:07

128

Views

Möbius transformation/biholomophic funtion

Published on 25 Mar 2026 - 7:49

score 1.2k · Answer 10 · 2026-03-25 07:42:50

1.2k

Views

Finding a conformal map from the intersection of two disks to the unit disk.

Published on 25 Mar 2026 - 7:42

score 1k · Answer 11 · 2026-05-10 16:13:55

1k

Views

Subgroup of Möbius transformations which are isometries with respect to the standard metric on the Riemann sphere

Published on 10 May 2026 - 16:13

score 954 · Answer 12 · 2026-03-25 07:43:26

954

Views

Using conformal maps to solve the Dirichlet problem on $U = \{z : \text{Im}z \geq 0 \}$

Published on 25 Mar 2026 - 7:43

score 1.1k · Answer 13 · 2026-04-29 12:50:57

1.1k

Views

What is the radius and center of the image of $|z|=1$ under $ f(z) = \frac{3z+2}{4z+3}$?

Published on 29 Apr 2026 - 12:50

score 123 · Answer 14 · 2026-04-18 01:50:22

123

Views

What is actually the geometry or analysis behind the fact that $Mob(\hat{\Bbb C})$ is simple?

Published on 18 Apr 2026 - 1:50

score 325 · Answer 15 · 2026-03-25 07:47:12

325

Views

Image of unit disk under inversion - Mobius transformations

Published on 25 Mar 2026 - 7:47

List Question

Show that $ad-bc \ne 0$ for a composition of two Mobius transformations.

Find a center and radius of circle that is an image of Mobius Transformation of real axis

Image of square under Mobius Transformation

Finding the norm of $w + \frac{1 - |w|^2}{|w - z|^2}(w - z)$, where $w$ and $z$ are in $\mathbb{R}^n$

$\text{SL}_2(\mathbb Z)$ acts on upper plane $\mathbb H$. What kind of points have non-trivial stabilizer? And how many orbits are there?

Möbius transformation mapping

Mobius transformation producing a curved triangle with 3 intersecting circles

Finding bilinear transformation which maps $|z|=1$ on to $|w|=1$

Möbius transformation/biholomophic funtion

Finding a conformal map from the intersection of two disks to the unit disk.

Subgroup of Möbius transformations which are isometries with respect to the standard metric on the Riemann sphere

Using conformal maps to solve the Dirichlet problem on $U = \{z : \text{Im}z \geq 0 \}$

What is the radius and center of the image of $|z|=1$ under $ f(z) = \frac{3z+2}{4z+3}$?

What is actually the geometry or analysis behind the fact that $Mob(\hat{\Bbb C})$ is simple?

Image of unit disk under inversion - Mobius transformations

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