The x-ray transform for a non-Abelian connection in two dimensions

Authors
Finch, D Uhlmann, G
Citation
D. Finch et G. Uhlmann, The x-ray transform for a non-Abelian connection in two dimensions, INVERSE PR, 17(4), 2001, pp. 695-701
Citations number
9
Categorie Soggetti
Physics
Journal title
INVERSE PROBLEMS
ISSN journal
02665611 → ACNP
Volume
17
Issue
4
Year of publication
2001
Pages
695 - 701
Database
ISI
SICI code
0266-5611(200108)17:4<695:TXTFAN>2.0.ZU;2-I
Abstract
We show that in two dimensions we can determine a connection from the line integrals of the connection with values in skew-Hermitian m x Tn matrices p rovided that the connection has a small curvature in an appropriate sense.