Poincaré's lemma on the Heisenberg group

DOI10.1016/j.aam.2014.08.003zbMath1294.93045OpenAlexW2004583880WikidataQ124792054 ScholiaQ124792054MaRDI QIDQ741132

Ovidiu Calin, Jishan Hu, Der-Chen E. Chang

Publication date: 10 September 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2014.08.003

zbMATH Keywords

Poincaré lemmaHeisenberg distributionsub-Riemannian system

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (3)

Integrability conditions on Engel-type manifolds ⋮ Poincaré's lemma on some non-Euclidean structures ⋮ Integrability conditions on a sub-Riemannian structure on \(\mathbb {S}^3\)

Cites Work

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• Integrability conditions for Heisenberg and Grushin-type distributions
• Hypoelliptic second order differential equations
• The Poincaré Lemma and an Elementary Construction of Vector Potentials
• Integrability conditions for the Grushin and Martinet distributions

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