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Projection theorems in hyperbolic space
Published 30 Jul 2018 in math.MG and math.DG | (1807.11548v1)
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.
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