Inverse scattering results for manifolds hyperbolic near infinity
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Publication:535599
DOI10.1007/s12220-010-9149-9zbMath1229.58024arXiv0906.0542OpenAlexW2139432257WikidataQ125698910 ScholiaQ125698910MaRDI QIDQ535599
Peter A. Perry, David Borthwick
Publication date: 13 May 2011
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0542
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)
Related Items
Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds, Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces, Relatively Isospectral Noncompact Surfaces, On the spectral theory and dynamics of asymptotically hyperbolic manifolds, Dynamics and Zeta functions on conformally compact manifolds, Compactness of relatively isospectral sets of surfaces via conformal surgeries
Cites Work
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- Curvature and uniformization
- Dynamics of asymptotically hyperbolic manifolds
- Ricci flow on surfaces with cusps
- Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds
- Wave 0-trace and length spectrum on convex co-compact hyperbolic manifolds
- Renormalizing curvature integrals on Poincaré-Einstein manifolds
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- Compact isospectral sets of surfaces
- Remarks on the compactness of isospectral sets in low dimensions
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Heat kernel upper bounds on a complete non-compact manifold
- Scattering asymptotics for Riemann surfaces
- Scattering matrix in conformal geometry
- Isoscattering on surfaces
- Determinants of Laplacians and isopolar metrics on surfaces of infinite area.
- Isoscattering Schottky manifolds
- Inverse scattering on asymptotically hyperbolic manifolds.
- Resonances and scattering poles on asymptotically hyperbolic manifolds
- Geometric finiteness theorems via controlled topology
- The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
- The wave trace for Riemann surfaces
- Inverse problems for Einstein manifolds
- Scattering poles for asymptotically hyperbolic manifolds
- Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces
- Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity
- Generalized Krein formula, determinants, and Selberg zeta function in even dimension
- Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
- Some isoperimetric inequalities and eigenvalue estimates
- On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
- On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- A convergence theorem for Riemannian manifolds and some applications
- Sobolev inequalities in disguise
- Spectral theory of infinite-area hyperbolic surfaces
- The wave group on asymptotically hyperbolic manifolds
