Mixed ray transform on simple 2-dimensional Riemannian manifolds

TL;DR

This paper characterizes the kernel of the mixed ray transform on simple 2D Riemannian manifolds, providing insights into the transform's properties on tensors of any order in a geometric setting.

Contribution

It offers a complete characterization of the kernel of the mixed ray transform on simple surfaces for tensors of any order, advancing understanding in geometric analysis.

Findings

Kernel of the mixed ray transform characterized for simple surfaces

Applicable to tensors of any order

Enhances understanding of geometric inverse problems

Abstract

We characterize the kernel of the mixed ray transform on simple $2$-dimensional Riemannian manifolds, that is, on simple surfaces for tensors of any order.