Dimension distortion by projections on Riemannian surfaces of constant curvature
Zoltán M. Balogh, Annina Iseli · arXiv (Cornell University) · 2015
We apply the theory of Peres and Schlag to obtain estimates for generic Hausdorff dimension distortion under orthogonal projections on simply connected two dimensional Riemannian manifolds of constant curvature. As a conclusion we obtain appropriate versions of Marstrand theorem, Kaufman's theorem and Falconer's theorem in the above geometrical settings.