List questions from conformal-geometry

Published on 27 Mar 2026 - 15:05

402

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Mapping of a Disk onto a Half-Plane

Published on 29 Apr 2022 - 19:24

66

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What does it mean that an equation is conformally invariant?

Published on 07 May 2022 - 7:37

79

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Existence of conformal equivalence between doubly connected domain and annulus

Published on 12 May 2022 - 14:34

40

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Where does $\;f(z)=\displaystyle \frac{1}{z} +e^{2i \gamma}z\;$ maps the unit disk $|z|<1$ in $w$- plane? given that $0 \leq \gamma \leq 2\pi$

Published on 24 May 2022 - 3:38

67

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Purpose of $ \frac{f''(z)}{f'(z)}$ while driving "Schwarz- Christoffel Formula"

Published on 05 Jun 2022 - 4:36

153

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If $f:G\to S$ is holomorphic with $f'(z)\neq 0$, does this imply that $f$ is injective if $G\subset\Bbb C$ and $S=f(G)$ are open and simply connected?

Published on 09 Jun 2022 - 16:00

110

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Conformal map between Plane and Helicoid?

Published on 02 Apr 2026 - 15:49

66

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Is composition of analytic function with invertible function analytic?

Published on 27 Jun 2022 - 12:42

35

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What is the mathematical term for a shape that fits in a specific coordinates (e.g. a rectangle in cartesian)?

Published on 25 Mar 2026 - 17:43

43

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Circlized checkerboard

Published on 13 Jul 2022 - 11:26

231

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Prove that if $f=u+iv$ is conformal in $G\subseteq\mathbb C$, then the Cauchy-Riemann Equations hold for $u$ and $v$.

Published on 27 Mar 2026 - 4:58

52

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Images of curves passing through zeros of a complex polynomials

Published on 18 Jul 2022 - 18:12

153

Views

Finding conformal map from a region with a slit to upper half plane

Published on 29 Mar 2026 - 15:14

78

Views

Equal area map from sphere to hemisphere

Published on 30 Mar 2026 - 23:09

List Question

Why is this called the conformal tensor?

Mapping of a Disk onto a Half-Plane

What does it mean that an equation is conformally invariant?

Existence of conformal equivalence between doubly connected domain and annulus

Where does $\;f(z)=\displaystyle \frac{1}{z} +e^{2i \gamma}z\;$ maps the unit disk $|z|<1$ in $w$- plane? given that $0 \leq \gamma \leq 2\pi$

Purpose of $ \frac{f''(z)}{f'(z)}$ while driving "Schwarz- Christoffel Formula"

If $f:G\to S$ is holomorphic with $f'(z)\neq 0$, does this imply that $f$ is injective if $G\subset\Bbb C$ and $S=f(G)$ are open and simply connected?

Conformal map between Plane and Helicoid?

Is composition of analytic function with invertible function analytic?

What is the mathematical term for a shape that fits in a specific coordinates (e.g. a rectangle in cartesian)?

Circlized checkerboard

Prove that if $f=u+iv$ is conformal in $G\subseteq\mathbb C$, then the Cauchy-Riemann Equations hold for $u$ and $v$.

Images of curves passing through zeros of a complex polynomials

Finding conformal map from a region with a slit to upper half plane

Equal area map from sphere to hemisphere

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