  The formal structure of geometrical thermodynamics is reviewed with
particular emphasis on the geometry of equilibria submanifolds. On these
submanifolds thermodynamic metrics are defined as the Hessian of thermodynamic
potentials. Links between geometry and thermodynamics are explored for single
and multiple component, closed and open systems. For multi-component closed and
open systems the Gibbs free energy is employed as the thermodynamic potential
to investigate the connection between geometry and thermodynamics. The Gibbs
free energy is chosen for the analysis of multicomponent systems and, in
particular, chemical reactions.
