Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424950 | Advances in Mathematics | 2017 | 56 Pages |
Abstract
Let (X,g) be a compact manifold with conic singularities. Taking Îg to be the Friedrichs extension of the Laplace-Beltrami operator, we examine the singularities of the trace of the half-wave group eâitÎg arising from strictly diffractive closed geodesics. Under a generic nonconjugacy assumption, we compute the principal amplitude of these singularities in terms of invariants associated to the geodesic and data from the cone point. This generalizes the classical theorem of Duistermaat-Guillemin on smooth manifolds and a theorem of Hillairet on flat surfaces with cone points.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
G. Austin Ford, Jared Wunsch,