On the Funk transform on compact symmetric spaces
Differential Geometry
2009-03-30 v1
Abstract
We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a support theorem for the Funk transform on rank one symmetric spaces which are not spheres.
Cite
@article{arxiv.0903.4754,
title = {On the Funk transform on compact symmetric spaces},
author = {Sebastian Klein and Gudlaugur Thorbergsson and Laszlo Verhoczki},
journal= {arXiv preprint arXiv:0903.4754},
year = {2009}
}
Comments
8 pages