Projection theorems in hyperbolic space

被引：0

作者：

Balogh, Zoltan M. ^{[1
]}

Iseli, Annina ^{[1
]}

机构：

[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

来源：

ARCHIV DER MATHEMATIK | 2019年 / 112卷 / 03期

基金：

瑞士国家科学基金会;

关键词：

Hausdorff dimension; Projections; Hyperbolic space; HAUSDORFF DIMENSION;

D O I：

10.1007/s00013-018-1252-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：329 / 336

页数：8

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