List questions from mobius-transformation

Published on 10 Jan 2017 - 20:43

379

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Deduce that every element $g$ of $SL_2(\mathbb R)$ may be expressed in the form $g=hk$ where $h\in H$ and $k$ is a rotation.

Published on 11 Jan 2017 - 16:16

137

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A telescoping series with the Möbius function. Does a closed form exist?

Published on 26 Mar 2026 - 6:18

186

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Is any map preserving cross ratios a Mobius map?

Published on 11 Jan 2017 - 21:37

743

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Find the image of vertical line $x=1$ under Mobius transformation of $\frac{2z}{z+1}$.

Published on 23 Feb 2026 - 2:42

94

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If $w=\frac{z+2i}{2iz-1}$, find all points mapped to $\{w \mid |w|=1\}$

Published on 15 Jan 2017 - 15:39

745

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Are Möbius transformations onto?

Published on 30 Jan 2017 - 16:50

167

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a real half-axis instead of an imaginary one, in the upper half-space models

Published on 31 Jan 2017 - 10:11

165

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How to prove that a Möbius image is a circle?

Published on 31 Jan 2017 - 22:46

315

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$GL(2, \mathbb{C})$ and $SL(2, \mathbb{C})$ isomorphic to Möbius group?

Published on 02 Feb 2017 - 4:43

279

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Möbius map on open unit disk which goes to open unit disk

Published on 02 Feb 2017 - 6:43

695

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Find Möbius transformation fixing $i$,mapping im-axis to im-axis and $\vert z-i\vert < 2$ to the upper half plane,

Published on 06 Feb 2017 - 11:55

121

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Möbius maps preserve cross-ratios

Published on 09 Feb 2017 - 1:06

298

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Determining where a Möbius map takes annuli

Published on 09 Feb 2017 - 3:05

352

Views

Why is Möbius map not holomorphic on $\mathbb{C}_\infty$?

Published on 10 Feb 2017 - 6:38

List Question

Automorphisms of circles in UHP

Deduce that every element $g$ of $SL_2(\mathbb R)$ may be expressed in the form $g=hk$ where $h\in H$ and $k$ is a rotation.

A telescoping series with the Möbius function. Does a closed form exist?

Is any map preserving cross ratios a Mobius map?

Find the image of vertical line $x=1$ under Mobius transformation of $\frac{2z}{z+1}$.

If $w=\frac{z+2i}{2iz-1}$, find all points mapped to $\{w \mid |w|=1\}$

Are Möbius transformations onto?

a real half-axis instead of an imaginary one, in the upper half-space models

How to prove that a Möbius image is a circle?

$GL(2, \mathbb{C})$ and $SL(2, \mathbb{C})$ isomorphic to Möbius group?

Möbius map on open unit disk which goes to open unit disk

Find Möbius transformation fixing $i$,mapping im-axis to im-axis and $\vert z-i\vert < 2$ to the upper half plane,

Möbius maps preserve cross-ratios

Determining where a Möbius map takes annuli

Why is Möbius map not holomorphic on $\mathbb{C}_\infty$?

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