Solutions to the nonlinear Schrodinger equation carrying momentum along acurve.

We prove existence of a special class of solutions to an (elliptic) nonlinear Schrödinger equation on a manifold or in Euclidean space. Here V represents the potential, p an exponent greater than 1, and " a small parameter corresponding to the Planck constant. As " tends to 0 (in the semiclassical limit) we exhibit complex-valued solutions that concentrate along closed curves and whose phases are highly oscillatory. Physically these solutions carry quantum-mechanical momentum along the limit curves