* @details This function performs the parallel transportation of an input matrix whose columns are expressed in the tangent space of the integrated element \f$ q \oplus v \f$,
* to the tangent space at \f$ q \f$.
* In other words, this functions transforms a tangent vector expressed at \f$ q \oplus v \f$ to a tangent vector expressed at \f$ q \f$, considering that the change of configuration between
* \f$ q \oplus v \f$ and \f$ q \f$ may alter the value of this tangent vector.
* A typical example of parallel transportation is the action operated by a rigid transformation \f$ M \in \text{SE}(3)\f$ on a spatial velocity \f$ v \in \text{se}(3)\f$.
* In other words, this functions transforms a tangent vector expressed at \f$ q \oplus v \f$ to a tangent vector expressed at \f$ q \f$, considering that the change of configuration between
* \f$ q \oplus v \f$ and \f$ q \f$ may alter the value of this tangent vector.
* A typical example of parallel transportation is the action operated by a rigid transformation \f$ M \in \text{SE}(3)\f$ on a spatial velocity \f$ v \in \text{se}(3)\f$.
* In the context of configuration spaces assimilated as vectorial spaces, this operation corresponds to Identity.
* For Lie groups, its corresponds to the canonical vector field transportation.