Improved Hausdorff dimension estimate for vertical projections in the Heisenberg group

DOI10.2422/2036-2145.201309_003zbMath1337.28007OpenAlexW2517045408WikidataQ110007341 ScholiaQ110007341MaRDI QIDQ2807106

Risto Hovila, Katrin S. Fässler

Publication date: 19 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201309_003

zbMATH Keywords

GrassmannianKorányi metrichorizontal and vertical projections

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78) Sub-Riemannian geometry (53C17)

Related Items (9)

Dimension distortion by right coset projections in the Heisenberg group ⋮ Loomis-Whitney inequalities in Heisenberg groups ⋮ Towards a theory of area in homogeneous groups ⋮ Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences ⋮ A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group ⋮ An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group ⋮ Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets ⋮ 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

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