A Support Theorem For The Radiation Fields On Asymptotically Euclidean Manifolds

TL;DR

This paper proves a support theorem for radiation fields on asymptotically Euclidean manifolds, extending classical results from Euclidean Radon transform to a broader geometric setting.

Contribution

It generalizes the support theorem for Radon transforms to radiation fields on asymptotically Euclidean manifolds with warped product metrics.

Findings

Support theorem established for radiation fields on asymptotically Euclidean manifolds.

Extension of classical Radon transform support theorem to new geometric setting.

Applicable to manifolds with warped product metrics near infinity.

Abstract

We prove a support theorem for the radiation fields on asymptotically Euclidean manifolds with metrics which are warped products near infinity. It generalizes to this setting the well known support theorem for the Radon transform on n-dimensional Euclidean space.