The X-ray transform on 2-step nilpotent Lie groups of higher rank
Differential Geometry
2016-01-19 v1
Abstract
We prove injectivity and a support theorem for the X-ray transform on -step nilpotent Lie groups with many totally geodesic -dimensional flats. The result follows from a general reduction principle for manifolds with uniformly escaping geodesics.
Keywords
Cite
@article{arxiv.1601.04614,
title = {The X-ray transform on 2-step nilpotent Lie groups of higher rank},
author = {Norbert Peyerimhoff and Evangelia Samiou},
journal= {arXiv preprint arXiv:1601.04614},
year = {2016}
}