A Poisson relation for conic manifolds
A Poisson relation for conic manifolds
Let X be a compact Riemannian manifold with conic singularities, i.e. a Riemannian manifold whose metric has a conic degeneracy at the boundary.Let ∆ be the Friedrichs extension of the Laplace-Beltrami operator on X.There are two natural ways to define geodesics passing through the boundary: as "diffractive" geodesics which may …