Measures with unique tangent measures in metric groups

DOI10.7146/math.scand.a-14977zbMath1093.28002OpenAlexW147587337MaRDI QIDQ3367402

Pertti Mattila

Publication date: 24 January 2006

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c9c20ed2e16be6cde2c5181857f7b5fdaa429a59

zbMATH Keywords

rectifiabilitytangent measuresHeisenberg groupsmetric groupleft Haar measure

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Measures on groups and semigroups, etc. (43A05) Length, area, volume, other geometric measure theory (28A75) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (14)

The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations ⋮ On rectifiable measures in Carnot groups: existence of density ⋮ Marstrand's density theorem in the Heisenberg group ⋮ Regular submanifolds, graphs and area formula in Heisenberg groups ⋮ Parabolic rectifiability, tangent planes and tangent measures ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ Singular integrals on Ahlfors-David regular subsets of the Heisenberg group ⋮ Rectifiability of the jump set of locally integrable functions ⋮ Exceptional sets for self-similar fractals in Carnot groups ⋮ Characterizations of \(k\)-rectifiability in homogeneous groups ⋮ Non-horizontal submanifolds and coarea formula ⋮ Geometry of \(1\)-codimensional measures in Heisenberg groups ⋮ Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces ⋮ On transversal submanifolds and their measure

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