Projection theorems in hyperbolic space
Metric Geometry
2018-08-01 v1 Differential Geometry
Abstract
We establish Marstrand-type projection theorems for orthogonal projections along geodesics onto m-dimensional subspaces of hyperbolic -space by a geometric argument. Moreover, we obtain a Besicovitch-Federer type characterization of purely unrectifiable sets in terms of these hyperbolic orthogonal projections.
Cite
@article{arxiv.1807.11548,
title = {Projection theorems in hyperbolic space},
author = {Zoltán M. Balogh and Annina Iseli},
journal= {arXiv preprint arXiv:1807.11548},
year = {2018}
}
Comments
6 pages, 2 figures