 9648 Rub\'en A.\ Pasmanter
 Metric structures of inviscid flows
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Feb 23, 96

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Abstract. An intrinsic metric tensor, a flat connexion and
the corresponding distancelike function are constructed
in the configuration space formed by velocity field {\bf and}
the thermodynamic variables of an inviscid fluid.
The kineticenergy norm is obtained as a limiting case;
all physical quantities are Galilean invariant.
Explicit expressions are given for the case of an ideal
gas.
The flat connexion is {\bf not} metriccompatible.
These results are achieved by applying the
formalism of statistical manifolds \cite{amari,otros}
to the statistical mechanics of a moving fluid.
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