by Joonas Ilmavirta, François Monard
Abstract:
We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs fields defined on manifolds with boundary.
Reference:
Integral geometry on manifolds with boundary and applications (Joonas Ilmavirta, François Monard), Chapter in "The Radon Transform: The First 100 Years and Beyond" (Ronny Ramlau, Otmar Scherzer, eds.), de Gruyter, 2019.
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We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs fields defined on manifolds with boundary.
[arXiv]
Bibtex Entry:
@incollection{integral-geometry-review,
author = {Joonas Ilmavirta and Fran\c{c}ois Monard},
title = {Integral geometry on manifolds with boundary and applications},
arxiv = {1806.06088},
month = apr,
year = {2019},
gsid = {9906349858081274939},
booktitle = {The Radon Transform: The First 100 Years and Beyond},
editor = {Ronny Ramlau and Otmar Scherzer},
publisher = {de Gruyter},
doi = {10.1515/9783110560855-004},
url = {http://users.jyu.fi/~jojapeil/pub/integral-geometry-review.pdf},
abstract = {We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs fields defined on manifolds with boundary.}
}