Some notes about matrices, 5
arXiv:math/0309119
Abstract
This short survey reviews some aspects of spaces of positive-definite self-adjoint linear transformations on R^n and on C^n, including the standard Riemannian metric and the relation with the exponential mapping acting on self-adjoint linear transformations, which indeed leads to geodesics of positive-definite linear transformations.
latex-2e, 5 pages