arXiv:1807.11548 Abstract | arXiv Analytics

arXiv:1807.11548 [math.MG]Abstract References Reviews Resources

Projection theorems in hyperbolic space

Published 2018-07-30Version 1

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.

Comments: 6 pages, 2 figures

Categories: math.MG, math.DG

Subjects: 28A78, 28A78, 53C22

Keywords: hyperbolic space, hyperbolic orthogonal projections, establish marstrand-type projection theorems, besicovitch-federer type characterization, geometric argument

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