Below is the ascii version of the abstract for 96-469.
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Some examples in one-dimensional ``geometric" scattering on manifolds
ABSTRACT. We consider ``geometric" scattering for a Laplace-Beltrami
operator on a compact Riemannian manifold inserted between two half-lines.
We discuss applicability and correctness of this model.
With an example, we show that such scattering problem may exhibit
unusual properties: the transition coefficient has a sequence of sharp peaks which
become more and more distant at high energy and otherwise turns