On univalent solvability of the Cauchy problem for equations of discrete chiral fields with values in Riemennian manifolds

A system of equations of discrete chiral field on infinite graph with values in complete Riemannian manifold is considered. An invariant proof of uniqueness of solution of the Cauchy problem with uniformly bounded initial velocities is given in the case when the Riemannian curvature and its gradient are bounded.