Measure of curves in graded groups

zbMath1283.28004arXiv1009.5304MaRDI QIDQ384307

Valentino Magnani, Riikka Korte

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5304

zbMATH Keywords

blow-upHausdorff measuregraded groupneglibility

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25)

Related Items (max. 100)

Towards a theory of area in homogeneous groups ⋮ On transversal submanifolds and their measure ⋮ Rotational symmetries and spherical measure in homogeneous groups

Cites Work

• Characteristic points, rectifiability and perimeter measure on stratified groups
• Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups
• Measure of submanifolds in the Engel group
• Blow-up estimates at horizontal points and applications
• Non-horizontal submanifolds and coarea formula
• An intrinsic measure for submanifolds in stratified groups
• Size of characteristic sets and functions with prescribed gradient
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