List questions from conformal-geometry

Published on 14 Aug 2018 - 7:55

120

Views

Why the conditions $w(0)=0$ and $w(2)=\infty$ map the region $|z-1|<1$ onto the region $\Re w>0$?

Published on 17 Aug 2018 - 11:44

89

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Prove $|f^{\prime}(a)|< \frac{Im f(a)}{Im a} $ for analytic self mapping on upper half plane

Published on 21 Aug 2018 - 3:38

114

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The change of area after conformal mapping in a single connected region?

Published on 30 Aug 2018 - 15:18

216

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If $u:U\to C$ is a harmonic function, then $u\circ F$ is harmonic on $V$.

Published on 30 Aug 2018 - 17:58

294

Views

In what $precise$ sense is Minkowski space asymptotically flat?

Published on 25 Mar 2026 - 3:00

77

Views

Is $\frac{w-1}{w+1}$ a conformal mapping from $\mathbb{C}\setminus(-\infty,0]$ onto $\mathbb{C}\setminus\big((-\infty,-1]\cup[1,+\infty)\big)$?

Published on 24 Mar 2026 - 23:46

340

Views

Inversion in a sphere preserves circles (proof)

Published on 23 Mar 2026 - 9:17

302

Views

Are conformal maps between Riemannian manifolds real-analytic?

Published on 25 Mar 2026 - 1:16

716

Views

Circles Riemann sphere

Published on 16 Sep 2018 - 12:22

259

Views

Conformal energy and first fundamental form

Published on 25 Mar 2026 - 6:11

201

Views

Why does orientation preserving maps respect CR?

Published on 25 Mar 2026 - 8:12

75

Views

Notation regarding generalized Minkowski space

Published on 25 Mar 2026 - 7:39

63

Views

Conformal mapping interpretation

Published on 14 Oct 2018 - 23:34

106

Views

Fitting a conformal / holomorphic function

Published on 16 Oct 2018 - 9:28

List Question

Algebraic trick to map $|z|<2$

Why the conditions $w(0)=0$ and $w(2)=\infty$ map the region $|z-1|<1$ onto the region $\Re w>0$?

Prove $|f^{\prime}(a)|< \frac{Im f(a)}{Im a} $ for analytic self mapping on upper half plane

The change of area after conformal mapping in a single connected region?

If $u:U\to C$ is a harmonic function, then $u\circ F$ is harmonic on $V$.

In what $precise$ sense is Minkowski space asymptotically flat?

Is $\frac{w-1}{w+1}$ a conformal mapping from $\mathbb{C}\setminus(-\infty,0]$ onto $\mathbb{C}\setminus\big((-\infty,-1]\cup[1,+\infty)\big)$?

Inversion in a sphere preserves circles (proof)

Are conformal maps between Riemannian manifolds real-analytic?

Circles Riemann sphere

Conformal energy and first fundamental form

Why does orientation preserving maps respect CR?

Notation regarding generalized Minkowski space

Conformal mapping interpretation

Fitting a conformal / holomorphic function

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