List questions from mobius-transformation

Published on 07 Aug 2023 - 14:49

57

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Mobius Map from disk to itself that has no fixed points

Published on 12 Aug 2023 - 9:24

42

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Conformal map from righthalfplane without line segment onto unit disk

Published on 13 Aug 2023 - 10:00

35

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How to find conformal map from half plane x<-y to circle

Published on 20 Aug 2023 - 13:28

73

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$\langle x,y \rangle, \ x,y \in \mathrm{PSL}(2,\mathbb{C})$ reducible $\iff$ $\text{tr}[x,y] = 2$

Published on 30 Aug 2023 - 15:27

95

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Is $f(z)=z+\frac{1}{10}(1-z)^3$ a maps which sends the unit disk to itself?

Published on 02 Sep 2023 - 10:49

175

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Automorphism of unit disc which maps two points on the boundary to $1$ and $-1$

Published on 11 Sep 2023 - 7:01

256

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Analogue of Blaschke products for the upper half plane?

Published on 23 Feb 2026 - 9:01

30

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Characterizing Mobius transformations using Orientation principle

Published on 24 Sep 2023 - 10:31

70

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Show that $\Re(\tau)=\frac12+n$ cannot be inside any fundamental region

Published on 30 Sep 2023 - 22:18

52

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Prove the following statement in Mobius geometry

Published on 25 Mar 2026 - 20:59

175

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Bounding a partial sum with Möbius inversion formula

Published on 25 Mar 2026 - 14:39

54

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Möbius transformation taking line segment between two complex numbers to the segment $[-1,1]$

Published on 25 Mar 2026 - 23:36

89

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Understanding Representation theory

Published on 17 Nov 2023 - 15:08

36

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Mapping that fixes a point after a rotation

Published on 27 Nov 2023 - 21:36

List Question

Are Möbius transformations homotopic to the identity on the upper half-plane?

Mobius Map from disk to itself that has no fixed points

Conformal map from righthalfplane without line segment onto unit disk

How to find conformal map from half plane x<-y to circle

$\langle x,y \rangle, \ x,y \in \mathrm{PSL}(2,\mathbb{C})$ reducible $\iff$ $\text{tr}[x,y] = 2$

Is $f(z)=z+\frac{1}{10}(1-z)^3$ a maps which sends the unit disk to itself?

Automorphism of unit disc which maps two points on the boundary to $1$ and $-1$

Analogue of Blaschke products for the upper half plane?

Characterizing Mobius transformations using Orientation principle

Show that $\Re(\tau)=\frac12+n$ cannot be inside any fundamental region

Prove the following statement in Mobius geometry

Bounding a partial sum with Möbius inversion formula

Möbius transformation taking line segment between two complex numbers to the segment $[-1,1]$

Understanding Representation theory

Mapping that fixes a point after a rotation

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