List questions from hyperbolic-geometry

Published on 30 Mar 2026 - 22:56

112

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The figure eight knot complement in $S^3$.

Published on 28 Mar 2026 - 12:48

138

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Ultrametric spaces are $0$-hyperbolic

Published on 23 Feb 2026 - 8:30

38

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For the reflection $\phi$ in the sphere $S(a,r)$ it holds that $\phi(B^n) = B^n$ if and only if $\phi(a*) = 0$

Published on 23 Feb 2026 - 10:04

161

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Why are $\cosh$ and $\cos$ related by the imaginary unit?

Published on 28 May 2022 - 18:34

118

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Distance-preserving map from the upper half-plane to itself

Published on 29 May 2022 - 18:04

391

Views

Deriving a distance formula from the hyperbolic metric $(e^{2ty}(dx)^2+(dy)^2)$

Published on 03 Apr 2026 - 19:14

114

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Can anyone prove why this hyperbolic tiling works?

Published on 26 Mar 2026 - 2:36

201

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if a curve $A=\{z : |z-3|+|z+3|=8\}$ and $B=\{z : |z-3|=k\},\; k\in \mathbb R^+$ touch the curve $A$ internally, then which are correct

Published on 01 Jun 2022 - 16:42

107

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$\pi=4$ ? Relation between $p$-norms and the hyperbolic plane

Published on 01 Jun 2022 - 20:57

52

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Understand definition of group of hyperbolic motion

Published on 25 Mar 2026 - 17:40

168

Views

Area of Complete Hyperbolic surface

Published on 14 Jun 2022 - 6:00

161

Views

Selecting uniformly random points of the upper half plane model of hyperbolic geometry

Published on 23 Feb 2026 - 15:08

51

Views

Perturbation of hyperbolic metric and differential inequality

Published on 16 Jun 2022 - 10:31

113

Views

general form of a Lorentz transformation in $\mathbb{R}^2$

Published on 27 Mar 2026 - 5:58

List Question

Simple formulas for geodesics of the Beltrami-Klein model

The figure eight knot complement in $S^3$.

Ultrametric spaces are $0$-hyperbolic

For the reflection $\phi$ in the sphere $S(a,r)$ it holds that $\phi(B^n) = B^n$ if and only if $\phi(a*) = 0$

Why are $\cosh$ and $\cos$ related by the imaginary unit?

Distance-preserving map from the upper half-plane to itself

Deriving a distance formula from the hyperbolic metric $(e^{2ty}(dx)^2+(dy)^2)$

Can anyone prove why this hyperbolic tiling works?

if a curve $A=\{z : |z-3|+|z+3|=8\}$ and $B=\{z : |z-3|=k\},\; k\in \mathbb R^+$ touch the curve $A$ internally, then which are correct

$\pi=4$ ? Relation between $p$-norms and the hyperbolic plane

Understand definition of group of hyperbolic motion

Area of Complete Hyperbolic surface

Selecting uniformly random points of the upper half plane model of hyperbolic geometry

Perturbation of hyperbolic metric and differential inequality

general form of a Lorentz transformation in $\mathbb{R}^2$

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