Projection theorems in hyperbolic space
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BORIS DOI
Date of Publication
September 2018
Publication Type
Article
Division/Institute
Subject(s)
Series
Archiv der Mathematik
ISSN or ISBN (if monograph)
0003-889X
Publisher
Springer
Language
English
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.
File(s)
| File | File Type | Format | Size | License | Publisher/Copright statement | Content | |
|---|---|---|---|---|---|---|---|
| Balogh-Iseli2018_Article_ProjectionTheoremsInHyperbolic.pdf | text | Adobe PDF | 524.74 KB | published |