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A support theorem for the X-ray transform on manifolds with plane covers.
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . Jul2020, Vol. 169 Issue 1, p149-158. 10p. - Publication Year :
- 2020
-
Abstract
- This paper is concerned with support theorems of the X-ray transform on non-compact manifolds with conjugate points. In particular, we prove that all simply connected 2-step nilpotent Lie groups have a support theorem. Important ingredients of the proof are the concept of plane covers and a support theorem for simple manifolds by Krishnan. We also provide examples of non-homogeneous 3-dimensional simply connected manifolds with conjugate points which have support theorems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NILPOTENT Lie groups
*MANIFOLDS (Mathematics)
*X-rays
*SUPPORT groups
*SUPERGRAVITY
Subjects
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 169
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 144421778
- Full Text :
- https://doi.org/10.1017/S0305004119000148