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hyperbolic$36650$ - translation to italian
SPACE WHERE EVERY POINT LOCALLY RESEMBLES A HYPERBOLIC SPACE
Hyperbolic n-manifold; Hyperbolic manifolds; Hyperbolic metric
![The [[Pseudosphere]]. Each half of this shape is a hyperbolic 2-manifold (i.e. surface) with boundary.](https://commons.wikimedia.org/wiki/Special:FilePath/The Pseudosphere.jpg?width=200 "The [[Pseudosphere]]. Each half of this shape is a hyperbolic 2-manifold (i.e. surface) with boundary.")
hyperbolic
adj. iperbolico
Definition
hyperbolic
If you describe language as hyperbolic, you mean that it makes something sound much more impressive than it really is. (TECHNICAL or FORMAL)
ADJ: usu ADJ n
Wikipedia
Hyperbolic manifold
In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in dimensions 2 and 3, where they are called hyperbolic surfaces and hyperbolic 3-manifolds, respectively. In these dimensions, they are important because most manifolds can be made into a hyperbolic manifold by a homeomorphism. This is a consequence of the uniformization theorem for surfaces and the geometrization theorem for 3-manifolds proved by Perelman.
