# Cholesky space

The Cholesky space is a Riemannian manifold on the lower triangular matrices.
Its metric is based on the cholesky decomposition.
The [`CholeskySpace`](@ref) is used to define the [`LogCholeskyMetric`](@ref) on the manifold of  [`SymmetricPositiveDefinite`](@ref) matrices.

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

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

## Literature
