  We introduce a Milnor metric on the determinant line of the cohomology of the
underlying closed manifold with coefficients in a flat vector bundle, by means
of interactions between the fixed points and the closed orbits of a Morse-Smale
flow. This allows us to generalise the notion of the absolute value at zero
point of the Ruelle dynamical zeta function, even in the case where this value
is not well defined in the classical sense. We give a formula relating the
Milnor metric and the Ray-Singer metric. An essential ingredient of our proof
is Bismut-Zhang's Theorem.
