Recent progress of inverse scattering theory on non-compact manifolds

TL;DR

This paper surveys recent advances in inverse scattering theory on non-compact Riemannian manifolds, focusing on reconstructing the manifold and metric from scattering data.

Contribution

It provides a comprehensive overview of new methods and results in inverse scattering on non-compact manifolds, highlighting recent progress.

Findings

Development of new reconstruction techniques

Enhanced understanding of scattering matrix properties

Progress in inverse problems on non-compact geometries

Abstract

We give a brief survey for the recent development of inverse scattering theory on non-compact Riemannian manifolds. The main theme is the reconstruction of the manifold and the metric from the scattering matrix.