A.Kiselev
Some examples in one-dimensional ``geometric" scattering on manifolds
(42K, LaTeX)

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
to zero.