English

Radon transform and curvature

Differential Geometry 2012-05-30 v1 Functional Analysis

Abstract

We interpret the setting for a Radon transform as a submanifold of the space of generalized functions, and compute its extrinsic curvature: it is the Hessian composed with the Radon transform.

Keywords

Cite

@article{arxiv.math/9210212,
  title  = {Radon transform and curvature},
  author = {Peter W. Michor},
  journal= {arXiv preprint arXiv:math/9210212},
  year   = {2012}
}