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15
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Kleinian Groups and 3-manifolds

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#algebraic-topology #manifolds #hyperbolic-geometry #quotient-spaces
199
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Does a group with exponential growth always have a hyperbolic subgroup which has exponential growth?

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#group-theory #hyperbolic-geometry
245
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Cusps in fundamental domains for lattices in $SL_2(\mathbb{R})$

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#complex-analysis #hyperbolic-geometry #lattices-in-lie-groups
300
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hyperbolic distance between two reals

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#complex-analysis #complex-integration #hyperbolic-geometry
981
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What induces and what is the meaning of the conformal factor in the Poincaré ball?

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#hyperbolic-geometry
179
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Angle of Parallelism in modified Poincare Disk Model

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#geometry #hyperbolic-geometry #angle
29
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Field on Poincaré disk

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#abstract-algebra #geometry #metric-spaces #field-theory #hyperbolic-geometry
123
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Hyperbolic analog of atan2(y,x)?

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#trigonometry #hyperbolic-geometry #hyperbolic-functions
382
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Example of cocompact discrete subgroups of $\operatorname{SL}_2(\mathbb R)$

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#functional-analysis #number-theory #hyperbolic-geometry #modular-forms
762
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Definition of the hyperbolic metric

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#complex-analysis #differential-geometry #hyperbolic-geometry
674
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Calculate the Gaussian curvature of hyperbolic space

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#hyperbolic-geometry #curvature
1.3k
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Christoffel Symbols for the Hyperbolic upper half plane

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#differential-geometry #hyperbolic-geometry #connections
382
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split-quaternion rotation

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#complex-numbers #hyperbolic-geometry #quaternions #hypercomplex-numbers
1.2k
Views

How small can the sum of the interior angles of a triangle in hyperbolic geometry get? Is there a lower bound?

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#geometry #triangles #hyperbolic-geometry #angle
334
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How to convert between the hyperboloid model and the Poincare ball when the curvature $\neq-1$?

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #projection

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