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geodesics in hyperbolic space

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#differential-geometry #hyperbolic-geometry #geodesic
79
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Finding the point through which the tangent passes

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#algebra-precalculus #geometry #conic-sections #coordinate-systems #hyperbolic-geometry
74
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Fuchsian groups in $\text{SL}(2,\mathbb{R})$ and commensurability in $\text{GL}(2,\mathbb{R})$

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#hyperbolic-geometry #covering-spaces #mobius-transformation #lattices-in-lie-groups
952
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Rectangles in Hyperbolic geometry

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#hyperbolic-geometry #rectangles
305
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Hyperbolization Theorem

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#hyperbolic-geometry #low-dimensional-topology
524
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What is the implied metric on $SL(2,\mathbb{R})$ in the definition of Fuchsian group?

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#reference-request #topological-groups #hyperbolic-geometry
402
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Poincaré disk with hyperbolic metric is a metric space

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#hyperbolic-geometry
83
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Riemann Mapping theorem in triangulations

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#hyperbolic-geometry #triangulation
475
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Complex-analytic isometry of hyperbolic ball and half-space

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#complex-analysis #riemannian-geometry #hyperbolic-geometry #isometry #orthogonal-matrices
97
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Valid metric on a hyperbolic space

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#metric-spaces #hyperbolic-geometry
147
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Find locus of points of constant distance from the imaginary axis in the Poincaré upper-half plane model

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#geometry #hyperbolic-geometry
320
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Ideal tetrahedron maximum volume

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#hyperbolic-geometry
31
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Proof bijectivity of map between a hyperbolic plane $\mathcal{H}^2$ and open unit disk in $\mathbb{R}^2$

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#functions #hyperbolic-geometry
322
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Prove that hyperbolic isometry with constant distance is the identity

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#geometry #hyperbolic-geometry #isometry
69
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Why is the fundamental group of a closed hyperbolic $n$-manifold is a (uniform) lattice in $SO(n,1)$?

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#hyperbolic-geometry #geometric-topology #fundamental-groups

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