# [Euclidean space](@id EuclideanSection)

The Euclidean space ``ℝ^n`` is a simple model space, since it has curvature constantly zero everywhere; hence, nearly all operations simplify.
The easiest way to generate an Euclidean space is to use a field, i.e. [`AbstractNumbers`](@extref ManifoldsBase number-system), e.g. to create the ``ℝ^n`` or ``ℝ^{n×n}`` you can simply type `M = ℝ^n` or `ℝ^(n,n)`, respectively.

```@autodocs
Modules = [Manifolds]
Pages = ["manifolds/Euclidean.jl"]
Order = [:type,:function]
```
