Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds

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This article proves that if M is a smooth manifold of dimension at least four, then for generic choice of metric on M, all prime parametrized minimal surfaces in M are free of branch points and lie on nondegenerate critical submanifolds for the two-variable energy function which have the same dimension as the group of complex automorphisms of the domain Riemann surface.