Compact Manifold
A Manifold which can be ``charted'' with finitely many Euclidean Space charts. The Circle is the onlycompact 1-D Manifold. The Sphere and 
-Torus are the only compact 2-D Manifolds. It is an open question if the known compact Manifolds in 3-D are complete, and it is not even known whata complete list in 4-D should look like. The following terse table therefore summarizes current knowledge about the numberof compact manifolds 
of 
dimensions.
| |
| 1 | 1 |
| 2 | 2 |
- Hyperbolic Cylinder
- Hyperbolic Dodecahedron
- Hyperbolic Fixed Point (Differential Equations)
- Hyperbolic Fixed Point (Map)
- Hyperbolic Functions
- Hyperbolic Geometry
- Hyperbolic Inverse Functions
- Hyperbolic Knot
- Hyperbolic Lemniscate Function
- Hyperbolic Map
- Hyperbolic Metric
- Hyperbolic Octahedron
- Hyperbolic Paraboloid
- Hyperbolic Partial Differential Equation
- Hyperbolic Plane
- Hyperbolic Point
- Hyperbolic Polyhedron
- Hyperbolic Rotation
- Hyperbolic Rotation (Crossed)
- Hyperbolic Secant
- Hyperbolic Sine
- Hyperbolic Space
- Hyperbolic Spiral
- Hyperbolic Spiral Inverse Curve
- Hyperbolic Spiral Roulette