Just a bit of docs before I got confused again

src/FiberBundle.jl

@@ -1,10 +1,13 @@
 """
     FiberBundle{𝔽,TVS<:FiberType,TM<:AbstractManifold{𝔽},TVT<:FiberBundleProductVectorTransport} <: AbstractManifold{𝔽}
 
-Fiber bundle on a [`AbstractManifold`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/types.html#ManifoldsBase.AbstractManifold) `M`
-of type [`FiberType`](@ref).
+Fiber bundle on a [`AbstractManifold`](@ref) `M` of type [`FiberType`](@ref).
 Examples include vector bundles, principal bundles or unit tangent bundles, see also [📖 Fiber Bundle](https://en.wikipedia.org/wiki/Fiber_bundle).
 
+# Fields
+* `manifold` – the [`AbstractManifold`](@ref) manifold the Fiber bundle is defined on
+* `type`     – representing the type of fiber we use.
+
 # Constructor
 
     FiberBundle(M::AbstractManifold, type::FiberType)
@@ -21,8 +24,6 @@ struct FiberBundle{
     vector_transport::TVT
 end
 
-vector_bundle_transport(::FiberType, M::AbstractManifold) = ParallelTransport()
-
 function FiberBundle(
     fiber::TVS,
     M::TM,
@@ -36,6 +37,8 @@ function FiberBundle(fiber::FiberType, M::AbstractManifold)
     return FiberBundle(fiber, M, vtbm)
 end
 
+vector_bundle_transport(::FiberType, M::AbstractManifold) = ParallelTransport()
+
 struct FiberBundleBasisData{BBasis<:CachedBasis,TBasis<:CachedBasis}
     base_basis::BBasis
     fiber_basis::TBasis

src/VectorBundle.jl

@@ -1,9 +1,9 @@
 
 """
-    VectorBundle{𝔽,TVS,TM,TVT}
+    VectorBundle{𝔽,TVS,TM,VTV} =  = FiberBundle{𝔽, VectorSpaceFiberType{TVS},TM,TVT}
 
 Alias for [`FiberBundle`](@ref) when fiber type is a `TVS` of type
-[`VectorSpaceType`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/bases.html#ManifoldsBase.VectorSpaceType).
+[`VectorSpaceType`](@ref).
 
 `VectorSpaceFiberType` is used to encode vector spaces as fiber types.
 """