# [Symmetric positive definite matrices of fixed determinant](@id SPDFixedDeterminantSection)

```@docs
SPDFixedDeterminant
```

This manifold can is a submanifold of the [symmetric positive definite matrices](@ref SymmetricPositiveDefiniteSection) and hence inherits most properties therefrom.

The differences are the functions

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