The Scattering Relation on Asymptotically Hyperbolic Manifolds

2014/10/24 by Antônio Sá Barreto, Yiran Wang, Barreto, Antonio Sa +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1410.6842

openalex publication_date 2014/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the scattering relation and the sojourn times on non-trapping asymptotically hyperbolic manifolds and use it to obtain the asymptotics of the distance function on geodesically convex asymptotically hyperbolic manifolds.

Related

• The scattering operator on asymptotically hyperbolic manifolds
• Scattering theory and deformations of asymptotically hyperbolic metrics
• Higher order scattering on asymptotically Euclidean Manifolds
• Generalized scattering phases for asymptotically hyperbolic manifolds
• Inverse Scattering on Asymptotically Hyperbolic Manifolds