On the characterization of the kernel of the geodesic Xray transform
Author:
Eduardo Chappa
Journal:
Trans. Amer. Math. Soc. 358 (2006), 47934807
MSC (2000):
Primary 58Jxx; Secondary 44A12, 53Cxx
Published electronically:
June 20, 2006
MathSciNet review:
2231872
Fulltext PDF Free Access
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Abstract: Let be a compact manifold with boundary. We consider covariant symmetric tensor fields of order two that belong to a Sobolev space . We prove, under the assumption that the metric is simple, that solenoidal tensor fields that belong to the kernel of the geodesic Xray transform are smooth up to the boundary. As a corollary we obtain that they form a finitedimensional set in .
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Additional Information
Eduardo Chappa
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195
Address at time of publication:
Department of Mathematical and Physical Sciences, Texas A&M International University, Laredo, Texas 780411900
DOI:
http://dx.doi.org/10.1090/S0002994706040591
PII:
S 00029947(06)040591
Received by editor(s):
December 20, 2002
Received by editor(s) in revised form:
August 3, 2004
Published electronically:
June 20, 2006
Additional Notes:
This work was partially supported by NSF grant #DMS0070488 and NSF grant #DMS9705792
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
