Balogh, Zoltan; Iseli, Annina (2016). Dimensions of projections of sets on Riemannian surfaces of constant curvature. Proceedings of the American Mathematical Society, 144(7), pp. 29392951. American Mathematical Society 10.1090/proc/12934

Text
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We apply the theory of Peres and Schlag to obtain generic lower bounds for Hausdorff dimension of images of sets by orthogonal projections on simply connected twodimensional Riemannian manifolds of constant curvature. As a conclusion we obtain appropriate versions of Marstrand's theorem, Kaufman's theorem, and Falconer's theorem in the above geometrical settings.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics 
UniBE Contributor: 
Balogh, Zoltan and Iseli, Annina 
Subjects: 
500 Science > 510 Mathematics 
ISSN: 
00029939 
Publisher: 
American Mathematical Society 
Language: 
English 
Submitter: 
Olivier Bernard Mila 
Date Deposited: 
08 Jun 2016 16:04 
Last Modified: 
26 Jun 2016 02:15 
Publisher DOI: 
10.1090/proc/12934 
BORIS DOI: 
10.7892/boris.81138 
URI: 
https://boris.unibe.ch/id/eprint/81138 