Category:Hyperbolic geometry

• Hyperbolic geometry

A

• Angle of parallelism
• Angular defect
• Anosov diffeomorphism
• Apollonian gasket
• Apollonian sphere packing
• Arithmetic Fuchsian group
• Arithmetic hyperbolic 3-manifold

B

• Band model
• Beltrami–Klein model
• Bryant surface

C

• Carathéodory metric
• Complex geodesic
• Complex hyperbolic space
• Constructions in hyperbolic geometry
• Coordinate systems for the hyperbolic plane
• Crocheting Adventures with Hyperbolic Planes
• Cusp neighborhood

D

• Double limit theorem

E

• Earthquake map
• Ending lamination theorem

F

• Fuchsian group
• Fuchsian model

G

• Geometric finiteness
• Geometric topology (object)
• The geometry and topology of three-manifolds
• Gieseking manifold
• Hyperbolic geometric graph
• Gyrovector space

H

• Hilbert's arithmetic of ends
• Hilbert's theorem (differential geometry)
• Hjelmslev transformation
• Horocycle
• Horosphere
• Hyperbolic 3-manifold
• Hyperbolic coordinates
• Hyperbolic Dehn surgery
• Hyperbolic functions
• Hyperbolic group
• Hyperbolic law of cosines
• Hyperbolic manifold
• Hyperbolic metric space
• Hyperbolic motion
• Hyperbolic space
• Hyperbolic tree
• Hyperbolic volume
• Hyperbolization theorem
• Hyperboloid model
• Hypercycle (geometry)
• HyperRogue

I

• Ideal point
• Ideal polyhedron
• Ideal triangle

K

• Kleinian model

L

• Lambert quadrilateral
• Limiting parallel
• Local rigidity

M

• Macbeath surface
• Margulis lemma
• Meyerhoff manifold
• Mostow rigidity theorem

N

• Non-Euclidean crystallographic group
• Non-positive curvature

P

• Pair of pants (mathematics)
• Picard horn
• Pleated surface
• Poincaré disk model
• Poincaré half-plane model
• Poincaré metric
• Point at infinity
• Prime geodesic
• Pseudosphere

R

• Rips machine

S

• Saccheri quadrilateral
• Schoen–Yau conjecture
• Schwarz triangle function
• Schwarz–Ahlfors–Pick theorem
• Seifert–Weber space
• SL2(R)
• Sphere-world
• Split-quaternion

T

• Tame manifold
• Tameness theorem
• Hyperbolic triangle
• Triangle group

U

• Ultraparallel theorem
• Upper half-plane

V

• Vinberg's algorithm

W

• Weeks manifold

Z

• Zimmert set