Projection theorems in hyperbolic space

Abstract

We establish Marstrand-type projection theorems for orthogonal projections along geodesics onto m-dimensional subspaces of hyperbolic $n$-space by a geometric argument. Moreover, we obtain a Besicovitch-Federer type characterization of purely unrectifiable sets in terms of these hyperbolic orthogonal projections.

arXiv comment6 pages, 2 figures

References in corpus (1)

• On restricted families of projections in R^3

Cited by in corpus (1)

• Marstrand-type projection theorems for linear projections and in normed spaces