Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces

Abstract

Hydrodynamic surfaces are solutions of hydrodynamic type systems viewed as non-parametrized submanifolds of the hodograph space. We propose an invariant differential-geometric characterization of hydrodynamic surfaces by expressing the curvature form of the characteristic web in terms of the reciprocal invariants.

12 pages

References in corpus (1)

• Equations of Associativity in Two-Dimensional Topological Field Theory as Integrable Hamiltonian Nondiagonalizable Systems of Hydrodynamic Type

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