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arXiv · 1601.04614

The X-ray transform on 2-step nilpotent Lie groups of higher rank

Norbert Peyerimhoff·Evangelia Samiou
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Abstract

We prove injectivity and a support theorem for the X-ray transform on $2$-step nilpotent Lie groups with many totally geodesic $2$-dimensional flats. The result follows from a general reduction principle for manifolds with uniformly escaping geodesics.

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Norbert Peyerimhoff, Evangelia Samiou. 2016-01-18. The X-ray transform on 2-step nilpotent Lie groups of higher rank. https://arxiv.org/abs/1601.04614

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