Definitions for hyperbolic space
hy·per·bol·ic space

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1. hyperbolic spacenoun

   Any space exhibiting hyperbolic geometry rather than Cartesian geometry

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1. Hyperbolic space

   In mathematics, hyperbolic space of dimension n is the unique simply connected, n-dimensional Riemannian manifold of constant sectional curvature equal to -1. It is homogeneous, and satisfies the stronger property of being a symmetric space. There are many ways to construct it as an open subset of R n {\displaystyle \mathbb {R} ^{n}} with an explicitly written Riemannian metric; such constructions are referred to as models. Hyperbolic 2-space, H2, which was the first instance studied, is also called the hyperbolic plane. It is also sometimes referred to as Lobachevsky space or Bolyai–Lobachevsky space after the names of the author who first published on the topic of hyperbolic geometry. Sometimes the qualificative "real" is added to differentiate it from complex hyperbolic spaces, quaternionic hyperbolic spaces and the octononic hyperbolic plane which are the other symmetric spaces of negative curvature. Hyperbolic space serves as the prototype of a Gromov hyperbolic space which is a far-reaching notion including differential-geometric as well as more combinatorial spaces via a synthetic approach to negative curvature. Another generalisation is the notion of a CAT(-1) space.

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1. Hyperbolic space

   In mathematics, hyperbolic space is a type of non-Euclidean geometry. Whereas spherical geometry has a constant positive curvature, hyperbolic geometry has a negative curvature: every point in hyperbolic space is a saddle point. Parallel lines are not uniquely paired: given a line and a point not on that line, any number of lines can be drawn through the point which are coplanar with the first and do not intersect it. This contrasts with Euclidean geometry, where parallel lines are a unique pair, and spherical geometry, where parallel lines do not exist, as all lines cross each other. Another distinctive property is the amount of space covered by the n-ball in hyperbolic n-space: it increases exponentially with respect to the radius of the ball, rather than polynomially.

How to pronounce hyperbolic space?

1. Alex

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   Daniel

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How to say hyperbolic space in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of hyperbolic space in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of hyperbolic space in Pythagorean Numerology is: 4

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Hyperbolic_Space
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Hyperbolic_Space
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=hyperbolic space