X-ray Transform in Asymptotically Conic Spaces-Reference-Cited by-同舟云学术

X-ray Transform in Asymptotically Conic Spaces

Published:2020-11-24 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Guillarmou Colin¹,Lassas Matti²,Tzou Leo³

Affiliation:

1. CNRS, Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay, 91405, Orsay, France

2. Department of Mathematics and Statistics P.O. Box 68 (Gustaf Hällströmin katu 2b), FI-00014 University of Helsinki, Helsinki, Finland

3. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

Abstract

Abstract In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no conjugate point assumptions. We also define a notion of lens data for such metrics and study the associated inverse problem.

Funder

Academy of Finland

Australian Research Council

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa286/34469663/rnaa286.pdf

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4. Asymptotically Euclidean Metrics Without Conjugate Points are Flat;The Journal of Geometric Analysis;2022-12-19