Sub-Riemannian currents and slicing of currents in the Heisenberg group \(\mathbb{H}^n\)

DOI10.1007/s12220-020-00474-3zbMath1475.53034arXiv2001.06805OpenAlexW3046474835WikidataQ115376753 ScholiaQ115376753MaRDI QIDQ2024655

Giovanni Canarecci

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06805

zbMATH Keywords

Heisenberg groupcurrentssub-Riemannian geometry\(\mathbb{H}\)-regularityRumin cohomologyslicing of currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Sub-Riemannian geometry (53C17) Currents in global analysis (58A25)

Related Items

Horizontal and straight triangulation on Heisenberg groups, An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups, Lipschitz graphs and currents in Heisenberg groups

Cites Work

• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Regular submanifolds, graphs and area formula in Heisenberg groups
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Differential forms on contact manifolds
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