Projection theorems in hyperbolic space

BORIS DOI
Publisher DOI
Description
We establish Marstrand-type projection theorems for orthogonal projections along geodesics onto m-dimensional subspaces of the 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.
Date of Publication
2018-09
Publication Type
article
Subject(s)
500 - Science::510 - Mathematics
Language(s)
en
Contributor(s)
Additional Credits
Mathematisches Institut (MAI)
Series
Archiv der Mathematik
Publisher
Springer
ISSN
0003-889X
Access(Rights)
open.access
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