Balogh, Zoltan; Iseli, Annina (2018). Projection theorems in hyperbolic space. Archiv der Mathematik, 112(3), pp. 329-336. Springer 10.1007/s00013-018-1252-3
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Balogh-Iseli2018_Article_ProjectionTheoremsInHyperbolic.pdf - Published Version Available under License Publisher holds Copyright. Download (537kB) | Preview |
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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan, Iseli, Annina |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0003-889X |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
22 May 2019 14:44 |
Last Modified: |
05 Dec 2022 15:25 |
Publisher DOI: |
10.1007/s00013-018-1252-3 |
BORIS DOI: |
10.7892/boris.125487 |
URI: |
https://boris.unibe.ch/id/eprint/125487 |
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