Mixed ray transform on simple 2-dimensional Riemannian manifolds-Reference-Cited by-同舟云学术

Mixed ray transform on simple 2-dimensional Riemannian manifolds

Published:2019-06-10 Issue:11 Volume:147 Page:4901-4913
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

de Hoop Maarten,Saksala Teemu,Zhai Jian

Abstract

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

Funder

Simons Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2019-147-11/S0002-9939-2019-14601-3/proc14601_AM.pdf

Reference21 articles.

1. Conformality with respect to Riemannian metrics;Ahlfors, Lars V.;Ann. Acad. Sci. Fenn. Ser. A. I.,1955

2. On uniqueness of determination of a form of first degree by its integrals along geodesics;Anikonov, Yu. E.;J. Inverse Ill-Posed Probl.,1997

3. C. H. Chapman and R. G. Pratt, Traveltime tomography in anisotropic media – I. Theory, Geophys. J. Internat. 109 (1992), no. 1, 1–19.

4. Integral geometry problem for nontrapping manifolds;Dairbekov, Nurlan S.;Inverse Problems,2006

5. Generic local uniqueness and stability in polarization tomography;Holman, Sean;J. Geom. Anal.,2013

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