* @brief Transport an input matrix to the manifold defined by the dIntegrate computation.
*
* @details This input and output has to be interpreted in terms of Lie group, not vector space: as such,
* Thus, dIntegrate(q, v, J, arg) creates a manifold manifold M given by a small variation of the configuration vector or the tangent vector into the tangent space at identity.
* We are moving our input matrix onto this manifold M.
*
* @param[in] model Model of the kinematic tree on which the integration operation is performed.