List questions from hyperbolic-geometry

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Does every cofinite Fuchsian group contain a hyperbolic element?

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Conformal circles (A property of inversions)

Published on 19 Jun 2019 - 10:09

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Two conjectures about infinite triangles in hyperbolic geometry

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86

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Pappus chain in an ideal triangle of Poincare disk of hyperbolic geometry

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Bootstrapping fractal hyperbolic tilings

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Center of $\pi_{1}(\mathbb{R}^{3} \backslash \text{trefoil knot})$ and $\mathrm{PSL}_{2}(\mathbb{Z})$

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On a pair of pants, complete geodesics do not cover the whole surface

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321

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Projection from Poincaré Ball to Hyperboloid

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Emulating distance on Poincaré disk for different curvatures

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Parabolic elements of $SL_2(\mathbb{R})$

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$PSL_2(\mathbb{R}) \simeq SO^+_{(1,2)}(\mathbb{R})$

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87

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Is there a maximum/minimum principle for harmonic functions on hyperbolic space?

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Side length is half translation length ? (for right angled hexagons given by three loxodromic isometries in $\mathbb{H}^n$)

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Riemannian curvature tensor of hyperbolic space $\mathbb H^3$

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List Question

Closed hyperbolic manifolds with $b_1 = 1$

Does every cofinite Fuchsian group contain a hyperbolic element?

Conformal circles (A property of inversions)

Two conjectures about infinite triangles in hyperbolic geometry

Pappus chain in an ideal triangle of Poincare disk of hyperbolic geometry

Bootstrapping fractal hyperbolic tilings

Center of $\pi_{1}(\mathbb{R}^{3} \backslash \text{trefoil knot})$ and $\mathrm{PSL}_{2}(\mathbb{Z})$

On a pair of pants, complete geodesics do not cover the whole surface

Projection from Poincaré Ball to Hyperboloid

Emulating distance on Poincaré disk for different curvatures

Parabolic elements of $SL_2(\mathbb{R})$

$PSL_2(\mathbb{R}) \simeq SO^+_{(1,2)}(\mathbb{R})$

Is there a maximum/minimum principle for harmonic functions on hyperbolic space?

Side length is half translation length ? (for right angled hexagons given by three loxodromic isometries in $\mathbb{H}^n$)

Riemannian curvature tensor of hyperbolic space $\mathbb H^3$

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