List questions from hyperbolic-geometry

Published on 04 Oct 2018 - 21:36

449

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Exists a discrete isometry group that's not finitely generated?

Published on 25 Mar 2026 - 7:42

105

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Vector scalar product and Fourier transform in the hyperbolic plane?

Published on 10 Oct 2018 - 11:18

75

Views

The collapsing map and its coarse inverse are $32 \delta$-coarse Lipschitz to each other

Published on 25 Mar 2026 - 15:54

89

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Find explicitely an element of SL$_2(\mathbb Z)$

Published on 19 Mar 2026 - 18:26

251

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What are the transformations that preserve cross ratios on a sphere in higher dimensions?

Published on 25 Mar 2026 - 7:48

50

Views

Hyperbolic Quadrilateral

Published on 29 Oct 2018 - 20:59

1.6k

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If from (1, $\alpha$) two tangents are drawn on exactly one branch of the hyperbola $\frac{x^2}{4} -\frac{y^2}{1} = 1$ the alpha belongs to

Published on 31 Oct 2018 - 12:15

162

Views

Finding the list of all closed curves in a "pair of pants" surface, having exactly 11 self-intersection points

Published on 31 Oct 2018 - 19:43

48

Views

Iteration of a parabolic transformation

Published on 25 Mar 2026 - 11:03

471

Views

Calculating hyperbolic distance on the hyperboloid $x_1^2+x_2^2-x_3^2=-10000$

Published on 09 Nov 2018 - 12:38

134

Views

Why is the horizontal line $t\mapsto(t,y_0)$ not a geodesic in the Poincaré halfplane?

Published on 10 Nov 2018 - 20:40

194

Views

Perpendicular bisectors of hyperbolic lines

Published on 14 Nov 2018 - 20:34

119

Views

Surjective differentiable map is an isometry

Published on 25 Mar 2026 - 9:32

196

Views

Proving a version of the Ultraparallel theorem

Published on 19 Nov 2018 - 21:58

List Question

Invariant volume element on the Poincaré plane

Exists a discrete isometry group that's not finitely generated?

Vector scalar product and Fourier transform in the hyperbolic plane?

The collapsing map and its coarse inverse are $32 \delta$-coarse Lipschitz to each other

Find explicitely an element of SL$_2(\mathbb Z)$

What are the transformations that preserve cross ratios on a sphere in higher dimensions?

Hyperbolic Quadrilateral

If from (1, $\alpha$) two tangents are drawn on exactly one branch of the hyperbola $\frac{x^2}{4} -\frac{y^2}{1} = 1$ the alpha belongs to

Finding the list of all closed curves in a "pair of pants" surface, having exactly 11 self-intersection points

Iteration of a parabolic transformation

Calculating hyperbolic distance on the hyperboloid $x_1^2+x_2^2-x_3^2=-10000$

Why is the horizontal line $t\mapsto(t,y_0)$ not a geodesic in the Poincaré halfplane?

Perpendicular bisectors of hyperbolic lines

Surjective differentiable map is an isometry

Proving a version of the Ultraparallel theorem

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