hyperbolic space
homogeneous space that has a constant negative curvature (not any hyperbolic manifold)
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hyperbolic space
Summary
hyperbolic space is a geometric structure[1]. It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[2]
Key Facts
- hyperbolic space's instance of is recorded as geometric structure[3].
- hyperbolic space is a type of homogeneous space[4].
- hyperbolic space is a type of Riemannian manifold[5].
- hyperbolic space is a type of hyperbolic manifold[6].
- hyperbolic space's partially coincident with is recorded as Gauss-Bolyai-Lobachevski space[7].
- hyperbolic space's different from is recorded as hyperbolic manifold[8].
- hyperbolic space's maintained by WikiProject is recorded as WikiProject Mathematics[9].
Body
Definition and Type
hyperbolic space's instance of is recorded as geometric structure[3]. Recorded subclass of include homogeneous space[4], Riemannian manifold[5], and hyperbolic manifold[6].
Why It Matters
hyperbolic space has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[2] It is known by 12 alternative names across languages and contexts.[10]