Transversality of isotropic projections, unrectifiability, and Heisenberg groups

DOI10.4171/RMI/789zbMath1298.28015arXiv1205.3010MaRDI QIDQ742880

Risto Hovila

Publication date: 19 September 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3010

zbMATH Keywords

symplectic geometryHeisenberg groupprojectionHausdorff dimensionunrectifiability

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (11)

Dimension distortion by right coset projections in the Heisenberg group ⋮ Towards a theory of area in homogeneous groups ⋮ Projection theorems for linear-fractional families of projections ⋮ An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group ⋮ Projection and slicing theorems in Heisenberg groups ⋮ Projection theorems in hyperbolic space ⋮ Hausdorff dimension of limsup sets of rectangles in the Heisenberg group ⋮ Intersections of projections and slicing theorems for the isotropic Grassmannian and the Heisenberg group ⋮ Hausdorff dimension estimates for restricted families of projections in \(\mathbb{R}^3\) ⋮ Marstrand type projection theorems for normed spaces ⋮ Dimensions of projections of sets on Riemannian surfaces of constant curvature

Cites Work

• Projection and slicing theorems in Heisenberg groups
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• The effect of projections on dimension in the Heisenberg group

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